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Book Information:
Author:
M. Gromov
Title:
Metric structures for Riemannian and non-Riemannian spaces
Additional book information:
Birkhäuser,
Boston,
1999,
xix + 585 pp.,
ISBN 0-8176-3898-9,
$89.95$
1. U. Abresch and D. Gromoll, On complete manifolds with nonnegative Ricci curvature, J. Amer. Math. Soc. 3 (1990), 355-374. MR 91a:53071
2. M. T. Anderson, Convergence and rigidity of manifolds under Ricci curvature bounds, Invent. Math. 102 (1990), 429-445. MR 92c:53024
3. W. Ballmann, M. Gromov, and V. Schroeder, Manifolds of nonpositive curvature, Birkhäuser Boston Inc., Boston, Mass., 1985. MR 87h:53050
4. V. N. Berestovskii, Spaces with bounded curvature and distance geometry, Sibirsk. Mat. Zh. 27 (1986), 11-25. MR 88e:53110
5. M. Berger, Encounter with a geometer. II, Notices Amer. Math. Soc. 47 (2000), 326-340. CMP 2000:08
6. M. R. Bridson and A. Haefliger, Metric spaces of non-positive curvature, Springer-Verlag, Berlin, 1999. MR 2000k:53038
7. D. Burago, S. Ferleger, and A. Kononenko, Uniform estimates on the number of collisions in semi-dispersing billiards, Ann. of Math. 147 (1998), 695-708. MR 99f:58120
8. Yu. Burago, M. Gromov, and G. Perel'man, A. D. Aleksandrov spaces with curvatures bounded below, Uspekhi Mat. Nauk 47 (1992), 3-51. MR 93m:53035
9. J. Cheeger, Pinching theorems for a certain class of Riemannian manifolds, Amer. J. Math. 91 (1969), 807-834. MR 40:7987
10. -, Finiteness theorems for Riemannian manifolds, Amer. J. Math. 92 (1970), 61-74. MR 41:7697
11. -, Critical points of distance functions and applications to geometry, Geometric topology: recent developments (Montecatini Terme, 1990), Springer, Berlin, 1991, pp. 1-38. MR 94a:53075
12. J. Cheeger and T. H. Colding, Lower bounds on Ricci curvature and the almost rigidity of warped products, Ann. of Math. 144 (1996), 189-237. MR 97h:53038
13. -, On the structure of spaces with Ricci curvature bounded below. I, J. Differential Geom. 46 (1997), 406-480. MR 98k:53044
14. J. Cheeger, K. Fukaya, and M. Gromov, Nilpotent structures and invariant metrics on collapsed manifolds, J. Amer. Math. Soc. 5 (1992), 327-372. MR 93a:53036
15. J. Cheeger and D. Gromoll, The splitting theorem for manifolds of nonnegative Ricci curvature, J. Differential Geometry 6 (1971/72), 119-128. MR 46:2597
16. S. Y. Cheng, Eigenvalue comparison theorems and its geometric applications, Math. Z. 143 (1975), 289-297. MR 51:14170
17. T. H. Colding, Shape of manifolds with positive Ricci curvature, Invent. Math. 124 (1996), 175-191. MR 96k:53067
18. -, Ricci curvature and volume convergence, Ann. of Math. 145 (1997), 477-501. MR 98d:53050
19. -, Spaces with Ricci curvature bounds, Proceedings of the International Congress of Mathematicians, Vol. II (Berlin, 1998), 299-308. MR 99j:53055
20. A. Eskin, Quasi-isometric rigidity of nonuniform lattices in higher rank symmetric spaces, J. Amer. Math. Soc. 11 (1998), 321-361. MR 98g:22005
21. A. Eskin and B. Farb, Quasi-flats and rigidity in higher rank symmetric spaces, J. Amer. Math. Soc. 10 (1997), 653-692. MR 98e:22007
22. F. Fang and X. Rong, Positive pinching, volume and second Betti number, Geom. Funct. Anal. 9 (1999), 641-674. MR 2000k:53030
23. B. Farb and L. Mosher, A rigidity theorem for the solvable Baumslag-Solitar groups, Invent. Math. 131 (1998), 419-451, With an appendix by Daryl Cooper, Quasi-isometric rigidity for the solvable Baumslag-Solitar groups. II, Invent. Math. 137 (1999), 613-649. MR 99b:57003; CMP 2000:01
24. B. Farb and R. Schwartz, The large-scale geometry of Hilbert modular groups, J. Differential Geom. 44 (1996), 435-478. MR 98f:22018
25. S. C. Ferry, A. Ranicki, and J. Rosenberg (eds.), Novikov conjectures, index theorems and rigidity., London Math. Soc. Lecture Notes, vols. 226 and 227, Cambridge University Press, Cambridge (1995). MR 96m:57002; MR 96m:57003
26. K. Fukaya, Hausdorff convergence of Riemannian manifolds and its applications, Recent topics in differential and analytic geometry, Academic Press, Boston, MA, 1990, pp. 143-238. MR 92k:53076
27. K. Fukaya and T. Yamaguchi, The fundamental groups of almost non-negatively curved manifolds, Ann. of Math. 136 (1992), 253-333. MR 93h:53041
28. D. Gabai, Convergence groups are Fuchsian groups, Ann. of Math. 136 (1992), 447-510. MR 93m:20065
29. L. Z. Gao and S.-T. Yau, The existence of negatively Ricci curved metrics on three-manifolds, Invent. Math. 85 (1986), 637-652. MR 87j:53061
30. É. Ghys and P. de la Harpe (eds.), Sur les groupes hyperboliques d'après Mikhael Gromov, Birkhäuser Boston Inc., Boston, MA, 1990, Papers from the Swiss Seminar on Hyperbolic Groups held in Bern, 1988. MR 92f:53050
31. M. Gromov, Almost flat manifolds, J. Differential Geom. 13 (1978), 231-241. MR 80h:53041
32. -, Synthetic geometry in Riemannian manifolds, Proceedings of the International Congress of Mathematicians (Helsinki, 1978) (Helsinki), Acad. Sci. Fennica, 1980, 415-419. MR 81g:53029
33. -, Curvature, diameter and Betti numbers, Comment. Math. Helv. 56 (1981), 179-195. MR 82k:53062
34. -, Groups of polynomial growth and expanding maps, Inst. Hautes Études Sci. Publ. Math. (1981), 53-73. MR 83b:53041; Appendix MR 83b:53042
35. -, Structures métriques pour les variétés riemanniennes, Edited by J. Lafontaine and P. Pansu, CEDIC, Paris, 1981. MR 85e:53051
36. -, Asymptotic invariants of infinite groups, Geometric group theory, Vol. 2 (Sussex, 1991), Cambridge Univ. Press, Cambridge, 1993, 1-295. MR 95m:20041
37. -, Carnot-Carathéodory spaces seen from within, Sub-Riemannian geometry, Birkhäuser, Basel, 1996, 79-323. MR 2000f:53034
38. K. Grove, Critical point theory for distance functions, Differential geometry: Riemannian geometry (Los Angeles, CA, 1990), Amer. Math. Soc., Providence, RI, 1993, 357-385. MR 94f:53065
39. K. Grove and S. Markvorsen, New extremal problems for the Riemannian recognition program via Alexandrov geometry, J. Amer. Math. Soc. 8 (1995), 1-28. MR 95j:53066
40. K. Grove and P. Petersen, Bounding homotopy types by geometry, Ann. of Math. 128 (1988), 195-206. MR 90a:53044
41. -, Volume comparison à la Aleksandrov, Acta Math. 169 (1992), 131-151. MR 93j:53057
42. K. Grove, P. Petersen, and J.-Y. Wu, Geometric finiteness theorems via controlled topology, Invent. Math. 99 (1990), 205-213. Erratum: Invent. Math. 104 (1991) 221-222. MR 90k:53075; Erratum MR 92b:53065
43. K. Grove and C. Searle, Positively curved manifolds with maximal symmetry-rank, J. Pure Appl. Algebra 91 (1994), 137-142. Differential topological restrictions curvature and symmetry, J. Differential Geom. 47 (1997), 530-559. MR 99h:53043a; correction MR 99h:53043b
44. K. Grove and K. Shiohama, A generalized sphere theorem, Ann. Math. 106 (1977), 201-211. MR 58:18268
45. K. Grove and F. Wilhelm, Hard and soft packing radius theorems, Ann. of Math. 142 (1995), 213-237. Metric constraints on exotic spheres via Alexandrov geometry, J. Reine Angew. Math. 487 (1997), 201-217. MR 96h:53054; MR 98d:53060
46. W.-Y. Hsiang and B. Kleiner, On the topology of positively curved 
-manifolds with symmetry, J. Differential Geom. 29 (1989), 615-621. MR 90e:53053
47. B. Kleiner and B. Leeb, Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings, Inst. Hautes Études Sci. Publ. Math. (1997),115-197 (1998). MR 98m:53068
48. C. Lebrun, Einstein metrics and the Yamabe problem, Trends in mathematical physics (Knoxville, TN, 1998), Amer. Math. Soc., Providence, RI, 1999, 353-376. MR 2000f:53057
49. J. Lohkamp, Metrics of negative Ricci curvature, Ann. of Math. 140 (1994), 655-683. MR 95i:53042
50. V. D. Milman, A new proof of A. Dvoretzky's theorem on cross-sections of convex bodies, Funkcional. Anal. i Prilozen. 5 (1971), 28-37. MR 45:2451
51. -, The heritage of P. Lévy in geometrical functional analysis, Astérisque (1988), no. 157-158, 273-301, Colloque Paul Lévy sur les Processus Stochastiques (Palaiseau, 1987). MR 91d:01005
52. I. G. Nikolaev, Smoothness of the metric of spaces with bilaterally bounded curvature in the sense of A. D. Aleksandrov, Sibirsk. Mat. Zh. 24 (1983), 114-132. MR 84h:53098
53. G. Perelman, Elements of Morse theory on Aleksandrov spaces, Algebra i Analiz 5 (1993), 232-241. Spaces with curvature bounded below, Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Zürich, 1994) (Basel), Birkhäuser, 1995, 517-525. MR 94h:53054; MR 97g:53055
54. -, Alexandrov Spaces with curvature bounded below II, Preprint (1992).
55. -, Construction of manifolds of positive Ricci curvature with big volume and large Betti numbers, Comparison geometry (Berkeley, CA, 1993-94), Cambridge Univ. Press, Cambridge, 1997, 157-163. MR 98h:53062
56. P. Petersen, Gromov-Hausdorff convergence of metric spaces, Differential geometry: Riemannian geometry (Los Angeles, CA, 1990), Amer. Math. Soc., Providence, RI, 1993, 489-504. MR 94b:53079
57. -, Riemannian geometry, Springer-Verlag, New York, 1998. MR 98m:53001
58. A. Petrunin and W. Tuschmann, Diffeomorphism finiteness, positive pinching, and second homotopy, Geom. Funct. Anal. 9 (1999), 736-774. MR 2000k:53031
59. C. Plaut, A metric characterization of manifolds with boundary, Compositio Math. 81 (1992), 337-354. MR 93c:53032
60. -, Spaces of Wald curvature bounded below, J. Geom. Anal. 6 (1996), 113-134. MR 97j:53043
61. X. Rong, Collapsed manifolds with pinched positive sectional curvature, J. Differential Geom. 51 (1999), 335-358. CMP 2000:05
62. -, Positive curvature, local and global symmetry, and fundamental groups, Amer. J. Math. 121 (1999), 931-943. MR 2000k:53037
63. J. Rosenberg and S. Stolz, Metrics of positive scalar curvature and connections with surgery. Surveys on Surgery Theory, vol. 2, Ann. of Math. Studies, vol. 149, to appear.
64. E. A. Ruh, Almost flat manifolds, J. Differential Geom. 17 (1982), 1-14. MR 84a:53047
65. R. E. Schwartz, The quasi-isometry classification of rank one lattices, Inst. Hautes Études Sci. Publ. Math. (1995), 133-168 (1996). MR 97c:22014
66. -, Quasi-isometric rigidity and Diophantine approximation, Acta Math. 177 (1996), 75-112. MR 97m:53093
67. J.-P. Sha and D.-G. Yang, Examples of manifolds of positive Ricci curvature, J. Differential Geom. 29 (1989), 95-103. MR 90c:53110
68. Y.Shikata, On metrizing differentiable structures, Sûgaku 20 (1968), 75-85. MR 39:967
69. S. Stolz, Positive scalar curvature metrics--existence and classification questions, Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Zürich, 1994), 625-636, Birkhäuser, Basel. MR 98h:53063
70. P. Tukia, On quasiconformal groups, J. Analyse Math. 46 (1986), 318-346. MR 87m:30043
71. T. Yamaguchi, Collapsing and pinching under a lower curvature bound, Ann. of Math. 133 (1991), 317-357. MR 92b:53067
- 1.
- U. Abresch and D. Gromoll, On complete manifolds with nonnegative Ricci curvature, J. Amer. Math. Soc. 3 (1990), 355-374. MR 91a:53071
- 2.
- M. T. Anderson, Convergence and rigidity of manifolds under Ricci curvature bounds, Invent. Math. 102 (1990), 429-445. MR 92c:53024
- 3.
- W. Ballmann, M. Gromov, and V. Schroeder, Manifolds of nonpositive curvature, Birkhäuser Boston Inc., Boston, Mass., 1985. MR 87h:53050
- 4.
- V. N. Berestovskii, Spaces with bounded curvature and distance geometry, Sibirsk. Mat. Zh. 27 (1986), 11-25. MR 88e:53110
- 5.
- M. Berger, Encounter with a geometer. II, Notices Amer. Math. Soc. 47 (2000), 326-340. CMP 2000:08
- 6.
- M. R. Bridson and A. Haefliger, Metric spaces of non-positive curvature, Springer-Verlag, Berlin, 1999. MR 2000k:53038
- 7.
- D. Burago, S. Ferleger, and A. Kononenko, Uniform estimates on the number of collisions in semi-dispersing billiards, Ann. of Math. 147 (1998), 695-708. MR 99f:58120
- 8.
- Yu. Burago, M. Gromov, and G. Perel'man, A. D. Aleksandrov spaces with curvatures bounded below, Uspekhi Mat. Nauk 47 (1992), 3-51. MR 93m:53035
- 9.
- J. Cheeger, Pinching theorems for a certain class of Riemannian manifolds, Amer. J. Math. 91 (1969), 807-834. MR 40:7987
- 10.
- -, Finiteness theorems for Riemannian manifolds, Amer. J. Math. 92 (1970), 61-74. MR 41:7697
- 11.
- -, Critical points of distance functions and applications to geometry, Geometric topology: recent developments (Montecatini Terme, 1990), Springer, Berlin, 1991, pp. 1-38. MR 94a:53075
- 12.
- J. Cheeger and T. H. Colding, Lower bounds on Ricci curvature and the almost rigidity of warped products, Ann. of Math. 144 (1996), 189-237. MR 97h:53038
- 13.
- -, On the structure of spaces with Ricci curvature bounded below. I, J. Differential Geom. 46 (1997), 406-480. MR 98k:53044
- 14.
- J. Cheeger, K. Fukaya, and M. Gromov, Nilpotent structures and invariant metrics on collapsed manifolds, J. Amer. Math. Soc. 5 (1992), 327-372. MR 93a:53036
- 15.
- J. Cheeger and D. Gromoll, The splitting theorem for manifolds of nonnegative Ricci curvature, J. Differential Geometry 6 (1971/72), 119-128. MR 46:2597
- 16.
- S. Y. Cheng, Eigenvalue comparison theorems and its geometric applications, Math. Z. 143 (1975), 289-297. MR 51:14170
- 17.
- T. H. Colding, Shape of manifolds with positive Ricci curvature, Invent. Math. 124 (1996), 175-191. MR 96k:53067
- 18.
- -, Ricci curvature and volume convergence, Ann. of Math. 145 (1997), 477-501. MR 98d:53050
- 19.
- -, Spaces with Ricci curvature bounds, Proceedings of the International Congress of Mathematicians, Vol. II (Berlin, 1998), 299-308. MR 99j:53055
- 20.
- A. Eskin, Quasi-isometric rigidity of nonuniform lattices in higher rank symmetric spaces, J. Amer. Math. Soc. 11 (1998), 321-361. MR 98g:22005
- 21.
- A. Eskin and B. Farb, Quasi-flats and rigidity in higher rank symmetric spaces, J. Amer. Math. Soc. 10 (1997), 653-692. MR 98e:22007
- 22.
- F. Fang and X. Rong, Positive pinching, volume and second Betti number, Geom. Funct. Anal. 9 (1999), 641-674. MR 2000k:53030
- 23.
- B. Farb and L. Mosher, A rigidity theorem for the solvable Baumslag-Solitar groups, Invent. Math. 131 (1998), 419-451, With an appendix by Daryl Cooper, Quasi-isometric rigidity for the solvable Baumslag-Solitar groups. II, Invent. Math. 137 (1999), 613-649. MR 99b:57003; CMP 2000:01
- 24.
- B. Farb and R. Schwartz, The large-scale geometry of Hilbert modular groups, J. Differential Geom. 44 (1996), 435-478. MR 98f:22018
- 25.
- S. C. Ferry, A. Ranicki, and J. Rosenberg (eds.), Novikov conjectures, index theorems and rigidity., London Math. Soc. Lecture Notes, vols. 226 and 227, Cambridge University Press, Cambridge (1995). MR 96m:57002; MR 96m:57003
- 26.
- K. Fukaya, Hausdorff convergence of Riemannian manifolds and its applications, Recent topics in differential and analytic geometry, Academic Press, Boston, MA, 1990, pp. 143-238. MR 92k:53076
- 27.
- K. Fukaya and T. Yamaguchi, The fundamental groups of almost non-negatively curved manifolds, Ann. of Math. 136 (1992), 253-333. MR 93h:53041
- 28.
- D. Gabai, Convergence groups are Fuchsian groups, Ann. of Math. 136 (1992), 447-510. MR 93m:20065
- 29.
- L. Z. Gao and S.-T. Yau, The existence of negatively Ricci curved metrics on three-manifolds, Invent. Math. 85 (1986), 637-652. MR 87j:53061
- 30.
- É. Ghys and P. de la Harpe (eds.), Sur les groupes hyperboliques d'après Mikhael Gromov, Birkhäuser Boston Inc., Boston, MA, 1990, Papers from the Swiss Seminar on Hyperbolic Groups held in Bern, 1988. MR 92f:53050
- 31.
- M. Gromov, Almost flat manifolds, J. Differential Geom. 13 (1978), 231-241. MR 80h:53041
- 32.
- -, Synthetic geometry in Riemannian manifolds, Proceedings of the International Congress of Mathematicians (Helsinki, 1978) (Helsinki), Acad. Sci. Fennica, 1980, 415-419. MR 81g:53029
- 33.
- -, Curvature, diameter and Betti numbers, Comment. Math. Helv. 56 (1981), 179-195. MR 82k:53062
- 34.
- -, Groups of polynomial growth and expanding maps, Inst. Hautes Études Sci. Publ. Math. (1981), 53-73. MR 83b:53041; Appendix MR 83b:53042
- 35.
- -, Structures métriques pour les variétés riemanniennes, Edited by J. Lafontaine and P. Pansu, CEDIC, Paris, 1981. MR 85e:53051
- 36.
- -, Asymptotic invariants of infinite groups, Geometric group theory, Vol. 2 (Sussex, 1991), Cambridge Univ. Press, Cambridge, 1993, 1-295. MR 95m:20041
- 37.
- -, Carnot-Carathéodory spaces seen from within, Sub-Riemannian geometry, Birkhäuser, Basel, 1996, 79-323. MR 2000f:53034
- 38.
- K. Grove, Critical point theory for distance functions, Differential geometry: Riemannian geometry (Los Angeles, CA, 1990), Amer. Math. Soc., Providence, RI, 1993, 357-385. MR 94f:53065
- 39.
- K. Grove and S. Markvorsen, New extremal problems for the Riemannian recognition program via Alexandrov geometry, J. Amer. Math. Soc. 8 (1995), 1-28. MR 95j:53066
- 40.
- K. Grove and P. Petersen, Bounding homotopy types by geometry, Ann. of Math. 128 (1988), 195-206. MR 90a:53044
- 41.
- -, Volume comparison à la Aleksandrov, Acta Math. 169 (1992), 131-151. MR 93j:53057
- 42.
- K. Grove, P. Petersen, and J.-Y. Wu, Geometric finiteness theorems via controlled topology, Invent. Math. 99 (1990), 205-213. Erratum: Invent. Math. 104 (1991) 221-222. MR 90k:53075; Erratum MR 92b:53065
- 43.
- K. Grove and C. Searle, Positively curved manifolds with maximal symmetry-rank, J. Pure Appl. Algebra 91 (1994), 137-142. Differential topological restrictions curvature and symmetry, J. Differential Geom. 47 (1997), 530-559. MR 99h:53043a; correction MR 99h:53043b
- 44.
- K. Grove and K. Shiohama, A generalized sphere theorem, Ann. Math. 106 (1977), 201-211. MR 58:18268
- 45.
- K. Grove and F. Wilhelm, Hard and soft packing radius theorems, Ann. of Math. 142 (1995), 213-237. Metric constraints on exotic spheres via Alexandrov geometry, J. Reine Angew. Math. 487 (1997), 201-217. MR 96h:53054; MR 98d:53060
- 46.
- W.-Y. Hsiang and B. Kleiner, On the topology of positively curved -manifolds with symmetry, J. Differential Geom. 29 (1989), 615-621. MR 90e:53053
- 47.
- B. Kleiner and B. Leeb, Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings, Inst. Hautes Études Sci. Publ. Math. (1997),115-197 (1998). MR 98m:53068
- 48.
- C. Lebrun, Einstein metrics and the Yamabe problem, Trends in mathematical physics (Knoxville, TN, 1998), Amer. Math. Soc., Providence, RI, 1999, 353-376. MR 2000f:53057
- 49.
- J. Lohkamp, Metrics of negative Ricci curvature, Ann. of Math. 140 (1994), 655-683. MR 95i:53042
- 50.
- V. D. Milman, A new proof of A. Dvoretzky's theorem on cross-sections of convex bodies, Funkcional. Anal. i Prilozen. 5 (1971), 28-37. MR 45:2451
- 51.
- -, The heritage of P. Lévy in geometrical functional analysis, Astérisque (1988), no. 157-158, 273-301, Colloque Paul Lévy sur les Processus Stochastiques (Palaiseau, 1987). MR 91d:01005
- 52.
- I. G. Nikolaev, Smoothness of the metric of spaces with bilaterally bounded curvature in the sense of A. D. Aleksandrov, Sibirsk. Mat. Zh. 24 (1983), 114-132. MR 84h:53098
- 53.
- G. Perelman, Elements of Morse theory on Aleksandrov spaces, Algebra i Analiz 5 (1993), 232-241. Spaces with curvature bounded below, Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Zürich, 1994) (Basel), Birkhäuser, 1995, 517-525. MR 94h:53054; MR 97g:53055
- 54.
- -, Alexandrov Spaces with curvature bounded below II, Preprint (1992).
- 55.
- -, Construction of manifolds of positive Ricci curvature with big volume and large Betti numbers, Comparison geometry (Berkeley, CA, 1993-94), Cambridge Univ. Press, Cambridge, 1997, 157-163. MR 98h:53062
- 56.
- P. Petersen, Gromov-Hausdorff convergence of metric spaces, Differential geometry: Riemannian geometry (Los Angeles, CA, 1990), Amer. Math. Soc., Providence, RI, 1993, 489-504. MR 94b:53079
- 57.
- -, Riemannian geometry, Springer-Verlag, New York, 1998. MR 98m:53001
- 58.
- A. Petrunin and W. Tuschmann, Diffeomorphism finiteness, positive pinching, and second homotopy, Geom. Funct. Anal. 9 (1999), 736-774. MR 2000k:53031
- 59.
- C. Plaut, A metric characterization of manifolds with boundary, Compositio Math. 81 (1992), 337-354. MR 93c:53032
- 60.
- -, Spaces of Wald curvature bounded below, J. Geom. Anal. 6 (1996), 113-134. MR 97j:53043
- 61.
- X. Rong, Collapsed manifolds with pinched positive sectional curvature, J. Differential Geom. 51 (1999), 335-358. CMP 2000:05
- 62.
- -, Positive curvature, local and global symmetry, and fundamental groups, Amer. J. Math. 121 (1999), 931-943. MR 2000k:53037
- 63.
- J. Rosenberg and S. Stolz, Metrics of positive scalar curvature and connections with surgery. Surveys on Surgery Theory, vol. 2, Ann. of Math. Studies, vol. 149, to appear.
- 64.
- E. A. Ruh, Almost flat manifolds, J. Differential Geom. 17 (1982), 1-14. MR 84a:53047
- 65.
- R. E. Schwartz, The quasi-isometry classification of rank one lattices, Inst. Hautes Études Sci. Publ. Math. (1995), 133-168 (1996). MR 97c:22014
- 66.
- -, Quasi-isometric rigidity and Diophantine approximation, Acta Math. 177 (1996), 75-112. MR 97m:53093
- 67.
- J.-P. Sha and D.-G. Yang, Examples of manifolds of positive Ricci curvature, J. Differential Geom. 29 (1989), 95-103. MR 90c:53110
- 68.
- Y.Shikata, On metrizing differentiable structures, Sûgaku 20 (1968), 75-85. MR 39:967
- 69.
- S. Stolz, Positive scalar curvature metrics--existence and classification questions, Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Zürich, 1994), 625-636, Birkhäuser, Basel. MR 98h:53063
- 70.
- P. Tukia, On quasiconformal groups, J. Analyse Math. 46 (1986), 318-346. MR 87m:30043
- 71.
- T. Yamaguchi, Collapsing and pinching under a lower curvature bound, Ann. of Math. 133 (1991), 317-357. MR 92b:53067
Review Information:
Reviewer:
Karsten Grove
Affiliation:
University of Maryland
Email:
kng@math.umd.edu
Journal:
Bull. Amer. Math. Soc.
38 (2001), 353-363
Published electronically:
March 27, 2001
Review copyright:
© Copyright 2001
American Mathematical Society
