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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Book Review

The AMS does not provide abstracts of book reviews. You may download the entire review from the links below.


Full text of review: PDF   This review is available free of charge.
Book Information:

Author: J. Jost
Title: Riemannian Geometry and Geometric Analysis
Additional book information: Universitext, Springer, New York, 1995, 400 pp., ISBN 3-540-57113-2, $54.00$

Author: P. Petersen
Title: Riemannian Geometry
Additional book information: Graduate Texts in Mathematics, vol. 171, Springer-Verlag, New York, 1998, xvi + 432 pp., ISBN 0-387-98212-4, $49.95$

Author: T. Sakai
Title: Riemannian Geometry
Additional book information: Translations of Math. Monographs, vol. 149, Amer. Math. Soc., Providence, RI, 1995, xiv+358 pp., ISBN 0-8218-0284-4, $59.00$

References [Enhancements On Off] (What's this?)

[Be]
A. L. Besse.
Einstein Manifolds.
Springer-Verlag 1987. MR 88f:53087
[BZ]
Y. Burago and V. A. Zalgaller.
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]
H. Karcher.
Riemannian Comparison Constructions.
In: Global Differential Geometry, edited by S. S. Chern.
MAA Studies in Math. 27 (1989) 170-222. MR 91b:53046
[Kaz]
J. Kazdan.
Review of Chavel's Riemannian geometry: A modern introduction.
BAMS 33 (1996), 339-344.
[Kl]
W. Klingenberg.
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]
J. Milnor.
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

Review Information:

Reviewer: Werner Ballmann
Affiliation: Mathematisches Institut, Universitaet Bonn
Email: ballmann@math.uni-bonn.de
Journal: Bull. Amer. Math. Soc. 37 (2000), 459-465
Published electronically: April 19, 2000
Review copyright: © Copyright 2000 American Mathematical Society