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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

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
MSC (2000): Primary 53-01, 53C20, 53C21, 53C43
Published electronically: April 19, 2000
Review copyright: © Copyright 2000 American Mathematical Society
American Mathematical Society