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Book Review
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Book Information
Author(s):
J. Jost
Title:
Riemannian Geometry and Geometric Analysis
Additional book information:
Universitext,
Springer, New York,
1995,
400,
$54.00,
3-540-57113-2
Author(s):
P. Petersen
Title:
Riemannian Geometry
Additional book information:
Graduate Texts in Mathematics, vol. 171,
Springer-Verlag, New York,
1998,
xvi + 432,
$49.95,
0-387-98212-4
Author(s):
T. Sakai
Title:
Riemannian Geometry
Additional book information:
Translations of Math. Monographs, vol. 149,
Amer. Math. Soc., Providence, RI,
1995,
xiv+358,
$59.00,
0-8218-0284-4
References:
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Einstein Manifolds. Springer-Verlag 1987. MR 88f:53087 - [BZ]
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Geometric Inequalities. Springer-Verlag 1988. MR 89b:52020 - [Ch1]
- I. Chavel.
Eigenvalues in Riemannian Geometry. Academic Press 1984. MR 86g:58140 - [Ch2]
- I. Chavel.
Riemannian Geometry: A Modern Introduction. Cambridge UP 1993. MR 95j:53001 - [dC]
- M. do Carmo.
Riemannian Geometry. Birkhäuser 1992. MR 92i:53001 - [Eb]
- P. B. Eberlein.
Geometry of Nonpositively Curved Manifolds. U Chicago Press 1996. MR 98h:53002 - [Es]
- J. Eschenburg.
Comparison Theorems in Riemannian Geometry. Lecture Notes, U Trento 1994. - [GHL]
- S. Gallot, D. Hulin and J. Lafontaine.
Riemannian Geometry. Springer-Verlag 1987. MR 88k:53001 - [Gro]
- M. Gromov.
Metric Structures for Riemannian and Non-Riemannian Spaces. Edited by J. LaFontaine and P. Pansu, Birkhäuser 1998. CMP 99:15 - [Gr]
- K. Grove.
Riemannian Geometry: A Metric Entrance. Lecture Notes, U Aarhus 1999. - [Jo1]
- J. Jost.
Riemannian Geometry and Geometric Analysis. Second Edition, Springer-Verlag 1998. MR 99g:53025 - [Jo2]
- J. Jost.
Nonpositive Curvature: Geometric and Analytic Aspects. Lecture Notes ETHZ, Birkhäuser 1997. - [Kar]
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Riemannian Comparison Constructions. In: Global Differential Geometry, edited by S. S. Chern. MAA Studies in Math. 27 (1989) 170-222. MR 91b:53046 - [Kaz]
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Review of Chavel's Riemannian geometry: A modern introduction. BAMS 33 (1996), 339-344. - [Kl]
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Riemannian Geometry. de Gruyter 1982. MR 84j:53001 - [La]
- S. Lang.
Fundamentals of Differential Geometry. Springer-Verlag 1999. MR 99m:53001 - [Li]
- P. Li.
Lecture Notes on Geometric Analysis. Seoul National Univ. 1993, http://www.math.uci.edu/ pli/ - [Me]
- W. Meyer.
Toponogov`s Theorem and Applications. Lecture Notes, Trieste 1989, http://www.math.uni-muenster.de/math/u/meyer/ - [Mi]
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Morse Theory. Princeton UP 1963. MR 29:634 - [ON]
- B. O'Neill.
Semi-Riemannian Geometry. Academic Press 1983. MR 85f:53002 - [Pe]
- P. Petersen.
Riemannian Geometry. Springer-Verlag 1997. MR 98m:53001 - [Sa]
- T. Sakai.
Riemannian Geometry. AMS Translations 1996. MR 97f:53001 - [Sp]
- M. Spivak.
A Comprehensive Introduction to Differential Geometry. Vols. I-V. Publish or Perish 1970-75. MR 42:2369; MR 42:6726; MR 51:8962; MR 52:15254a; MR 52:15254b - [Wu]
- H. H. Wu.
The Bochner Technique in Differential Geometry. Math. Rep. 3 (1988), 289-541. MR 91h:58031
Additional Information:
Reviewer(s):
Werner
Ballmann
Affiliation:
Mathematisches Institut, Universitaet Bonn
Email:
ballmann@math.uni-bonn.de
Review Information:
Journal:
Bull. Amer. Math. Soc.
37
(2000),
459-465.
MSC
(2000):
Primary 53-01, 53C20, 53C21, 53C43
DOI:
10.1090/S0273-0979-00-00869-7
PII:
S 0273-0979(00)00869-7
Posted:
April 19, 2000
Copyright of article:
Copyright
2000,
American Mathematical Society
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