Book Review

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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, $59.00$

**[Be]**

*Einstein Manifolds*.

Springer-Verlag 1987. MR

**88f:53087**

**[BZ]**

*Geometric Inequalities*.

Springer-Verlag 1988. MR

**89b:52020**

**[Ch1]**

*Eigenvalues in Riemannian Geometry*.

Academic Press 1984. MR

**86g:58140**

**[Ch2]**

*Riemannian Geometry: A Modern Introduction*.

Cambridge UP 1993. MR

**95j:53001**

**[dC]**

*Riemannian Geometry*.

Birkhäuser 1992. MR

**92i:53001**

**[Eb]**

*Geometry of Nonpositively Curved Manifolds*.

U Chicago Press 1996. MR

**98h:53002**

**[Es]**

*Comparison Theorems in Riemannian Geometry*.

Lecture Notes, U Trento 1994.

**[GHL]**

*Riemannian Geometry*.

Springer-Verlag 1987. MR

**88k:53001**

**[Gro]**

*Metric Structures for Riemannian and Non-Riemannian Spaces*.

Edited by J. LaFontaine and P. Pansu,

Birkhäuser 1998. CMP

**99:15**

**[Gr]**

*Riemannian Geometry: A Metric Entrance*.

Lecture Notes, U Aarhus 1999.

**[Jo1]**

*Riemannian Geometry and Geometric Analysis*.

Second Edition,

Springer-Verlag 1998. MR

**99g:53025**

**[Jo2]**

*Nonpositive Curvature: Geometric and Analytic Aspects*.

Lecture Notes ETHZ, Birkhäuser 1997.

**[Kar]**

Riemannian Comparison Constructions.

In:

*Global Differential Geometry*, edited by S. S. Chern.

MAA Studies in Math. 27 (1989) 170-222. MR

**91b:53046**

**[Kaz]**

Review of Chavel's

*Riemannian geometry: A modern introduction*.

*BAMS*33 (1996), 339-344.

**[Kl]**

*Riemannian Geometry*.

de Gruyter 1982. MR

**84j:53001**

**[La]**

*Fundamentals of Differential Geometry*.

Springer-Verlag 1999. MR

**99m:53001**

**[Li]**

*Lecture Notes on Geometric Analysis*.

Seoul National Univ. 1993,

http://www.math.uci.edu/ pli/

**[Me]**

*Toponogov`s Theorem and Applications*.

Lecture Notes, Trieste 1989,

http://www.math.uni-muenster.de/math/u/meyer/

**[Mi]**

*Morse Theory*.

Princeton UP 1963. MR

**29:634**

**[ON]**

*Semi-Riemannian Geometry*.

Academic Press 1983. MR

**85f:53002**

**[Pe]**

*Riemannian Geometry*.

Springer-Verlag 1997. MR

**98m:53001**

**[Sa]**

*Riemannian Geometry*.

AMS Translations 1996. MR

**97f:53001**

**[Sp]**

*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]**

*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