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Rigidity and other topological aspects of compact nonpositively curved manifolds
Author(s):
F. T.
Farrell;
L. E.
Jones
Journal:
Bull. Amer. Math. Soc.
22
(1990),
59-64.
MSC (1985):
Primary 18F25, 22E40, 57D50
MathSciNet review:
1001606
Retrieve article in:
PDF
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Additional information
References:
- 1.
- W. Ballmann, M. Gromov, and V. Schroeder, Manifolds of non-positive curvature, Birkhäuser, Boston, 1985. MR 823981
- 2.
- H. Bass, A. Heller, and R. G. Swan, The Whitehead group of a polynomial extension, Inst. Hautes Études Sci. Publ. Math. 22 (1964), 61-79. MR 174605
- 3.
- D. Burghelea and R. Lashof, Stability of concordances and the suspension homomorphism, Ann. of Math. (2) 105 (1977), 449-472. MR 438365
- 4.
- F. T. Farrell and W.-C. Hsiang, The Whitehead group of poly- (finite or cyclic) groups, J. London Math. Soc. 24 (1981), 308-324. MR 631942
- 5.
- F. T. Farrell and W.-C. Hsiang, On Novikov's conjecture for nonpositively curved manifolds. I, Ann. of Math. (2) 113 (1981), 199-209. MR 604047
- 6.
- F. T. Farrell and W.-C. Hsiang, Topological characterizations of flat and almost flat Riemannian manifolds M (n ≠ 3, 4), Amer. J. Math. 105 (1983), 641-672. MR 704219
- 7.
- F. T. Farrell and L. E. Jones, K-theory and dynamics. I, Ann. of Math. (2) 124 (1986), 531-569. MR 866708
- 8.
- F. T. Farrell and L. E. Jones, K-theory and dynamics. II, Ann. of Math. (2) 126 (1987), 451-493. MR 916716
- 9.
- F. T. Farrell and L. E. Jones, A topological analogue of Mostow's rigidity theorem, J. Amer. Math. Soc. 2 (1989), 257-370. MR 973309
- 10.
- F. T. Farrell and L. E. Jones, Compact negatively curved manifolds (of dim ≠ 3, 4) are topological rigid, Proc. Nat. Acad. Sci. 86 (1989), 3461-3463. MR 997635
- 11.
- F. T. Farrell and L. E. Jones, Negatively curved manifolds with exotic smooth structures, J. Amer. Math. Soc. 2 (1989), 899-908. MR 1002632
- 12.
- F. T. Farrell and L. E. Jones, Foliated control without radius of injectivity restrictions, Topology (in press). MR 1098909
- 13.
- F. T. Farrell and L. E. Jones, Foliated control theory. I and II, K-theory 2 (1988), 357-399 and 401-430. MR 972605
- 14.
- F. T. Farrell and L. E. Jones, Algebraic K-theory of discrete subgroups of Lie groups, Proc. Nat. Acad. Sci. 84 (1987), 3095-3096. MR 887290
- 15.
- F. T. Farrell and L. E. Jones, The surgery L-groups of poly-(finite or cyclic) groups, Invent. Math. 91 (1988), 559-586. MR 928498
- 16.
- D. Gromoll and J. Wolf, Some relations between the metric structure and the algebraic structure of the fundamental group in manifolds of non-positive curvature, Bull. Amer. Math. Soc. 77 (1971), 545-552. MR 281122
- 17.
- A. Hatcher, Concordance spaces, higher simple homotopy theory, and applications, Proc. Sympos. Pure Math. 32 (1978), 3-21. MR 520490
- 18.
- B. Hu, Ph. D. Thesis, SUNY at Stony Brook, 1989.
- 19.
- K. Igusa, The stability theorem for smooth pseudo-isotopies, K -Theory 2 (1988), 1-355. MR 972368
- 20.
- R. C. Kirby and L. C. Siebenmann, Foundational essays on topological manifolds, smoothings, and triangulations, Ann. of Math. Studies 88, Princeton Univ. Press, Princeton, N.J., 1977. MR 645390
- 21.
- A. J. Nicas, On the higher Whitehead groups of a Bieberbach group, Trans. Amer. Math. Soc. 287 (1985), 853-859. MR 768746
- 22.
- F. Quinn, Ends of maps. I, Ann. of Math. (2) 110 (1979), 275-331. MR 549490
- 23.
- F. Quinn, Ends of maps. II, Invent. Math. 68 (1982), 353-424. MR 669423
- 24.
- F. Quinn, Algebraic K-theory of poly-(finite or cyclic) groups, Bull. Amer. Math. Soc. (N.S.) 12 (1985), 221-226. MR 776473
- 25.
- F. Waldhausen, Algebraic K-theory of topological spaces I, Proc. Sympos. Pure Math., vol. 32, Amer. Math. Soc., Providence, R.I., 1978, pp. 35-60. MR 520492
- 26.
- C. T. C. Wall, Surgery on compact manifolds, Academic Press, New York, 1970. MR 431216
- 27.
- S.-T. Yau, Seminar on differential geometry, Annals. of Math. Studies, Princeton Univ. Press, Princeton, N.J., 1982. MR 645728
- 28.
- S.-T. Yau, On the fundamental group of compact manifolds of non-positive curvature, Ann. of Math. (2) 93 (1971), 579-585. MR 283726
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Additional Information:
DOI:
10.1090/S0273-0979-1990-15839-2
PII:
S 0273-0979(1990)15839-2
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