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Book Review
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Book Information
Author(s):
William Thurston
Title:
Three-dimensional geometry and topology
Additional book information:
Princeton Univ. Press,
Princeton, NJ, 1997, v+311 pp.,
$39.50,
0-691-08304-5
References:
- [An]
- M. Anderson, Scalar curvature and geometrization conjectures for
 -manifolds, in Comparison Geometry (K. Grove, P. Petersen, eds.), Math. Sci. Res. Ins. Publ. 30, Cambridge University Press, Cambridge, England, 1997. CMP 97:13 - [Car]
- E. Cartan, Lecons sur la geometrie des espaces de Riemann, Gauthier-Villars, 1928. (1st edition).
- [Gra]
- H. Grauert, On Levi's problem and the imbedding of real analytic manifolds, Ann. of Math. (2) 68 (1958) 460-472. MR 20:5299
- [GrS]
- R. E. Greene and K. Shiohama, Diffeomorphisms and volume-preserving embeddings of noncompact manifolds, Trans. Amer. Math. Soc. 255 (1979) 403-414. MR 80k:58031
- [GrW]
- R. E. Greene and H. Wu, Whitney's embedding theorem for solutions of elliptic equations and geometric consequences, Amer. Math. Soc. Proc. Sym. in Pure Math. 27 (1975) 287-296. MR 53:11678
- [Ha]
- R. Hamilton, Three manifolds with positive Ricci curvature, J. Diff. Geom. 17 (1982) 255-306. MR 84a:53050
- [Ha 2]
- R. Hamilton, The formation of singularities in the Ricci flow, Surveys in Diff. Geom. vol. 1, Intern. Press, 1995. MR 97e:53075
- [Moi]
- S. Mori, Projective manifolds with ample tangent bundles, Ann. of Math. 110 (1979) 593-606. MR 81j:14010
- [Mor]
- C. B. Morrey, The analytic embedding of abstract real-analytic manifolds, Ann. of Math. (2) 68 (1958) 159-201. MR 20:5504
- [Ra]
- J. G. Ratcliffe, Foundations of Hyperbolic Manifolds, Springer-Verlag, New York, 1994. MR 95j:57011
- [Sc]
- P. Scott, The geometries of -manifolds, Bull. London Math. Soc. 15 (1983) 401-487. MR 84m:57009
- [Sw]
- A. Schwarz (Svarc), A volume invariant of coverings, Dokl. Akad. Nauk SSSR 105 (1955) 32-34. MR 17:781d
- [SY]
- Y. T. Siu and S. T. Yau, Compact Kähler manifolds of positive bisectional curvature, Inv. Math. 59 (1980) 189-204. MR 81h:58029
- [We]
- A. Weinstein, On the homotopy type of positively pinched manifolds, Arch. Math. (Basel) 18 (1967) 523-524. MR 36:3376
- [Wh]
- H. Whitney, Differentiable manifolds, Annals of Math. (2) 37 (1936) 809-824.
- [WS]
- C. Weber and H. Seifert, Die beiden Dodekaederraum, Math. Zeit. 37 (1933) 237-253.
Additional Information:
Reviewer(s):
Robert
E.
Greene
Affiliation:
University of California at Los Angeles
Email:
greene@math.ucla.edu
Review Information:
Journal:
Bull. Amer. Math. Soc.
35
(1998),
179-188.
MSC
(1991):
Primary 57M50;
Secondary 53C30
DOI:
10.1090/S0273-0979-98-00748-4
PII:
S 0273-0979(98)00748-4
Copyright of article:
Copyright
1998,
American Mathematical Society
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