Book Review

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Book Information:

Author: Isaac Chavel

Title: Riemannian geometry: A modern introduction

Additional book information: Cambridge Tracts in Mathematics, no. 108, Cambridge Univ. Press, 1994, xii + 386 pp., ISBN 0-521-43201-4, $59.95; ISBN 0-521-48578-9, $24.95, paperback

Paperback is in series Cambridge Tracts in Mathematics, no. 108

**[Bu]**Peter Buser,*Geometry and spectra of compact Riemann surfaces*, Progress in Mathematics, vol. 106, Birkhäuser Boston, Inc., Boston, MA, 1992. MR**1183224****[Ch]**Chavel, Isaac,*Eigenvalues in Riemannian geometry*, Academic Press, New York, 1984.**[doC]**Manfredo Perdigão do Carmo,*Riemannian geometry*, Mathematics: Theory & Applications, Birkhäuser Boston, Inc., Boston, MA, 1992. Translated from the second Portuguese edition by Francis Flaherty. MR**1138207****[GHL]**Sylvestre Gallot, Dominique Hulin, and Jacques Lafontaine,*Riemannian geometry*, 2nd ed., Universitext, Springer-Verlag, Berlin, 1990. MR**1083149****[HT]**Stefan Hildebrandt and Anthony Tromba,*Mathematics and optimal form*, Scientific American Library, New York, 1985. MR**854269****[Li]**Li, Peter,*Lectures on differential geometry*, Seoul University, Korea, 1991. For copies send e-mail to`pli@math.uci.edu`.**[Os1]**Osserman, R.,*Poetry of the universe*, Anchor, New York, 1995.**[Os2]**Robert Osserman,*A survey of minimal surfaces*, Van Nostrand Reinhold Co., New York-London-Melbourne, 1969. MR**0256278**

Robert Osserman,*A survey of minimal surfaces*, 2nd ed., Dover Publications, Inc., New York, 1986. MR**852409****[Sp]**Michael Spivak,*A comprehensive introduction to differential geometry. Vol. I*, 2nd ed., Publish or Perish, Inc., Wilmington, Del., 1979. MR**532830**

Michael Spivak,*A comprehensive introduction to differential geometry. Vol. II*, 2nd ed., Publish or Perish, Inc., Wilmington, Del., 1979. MR**532831**

Michael Spivak,*A comprehensive introduction to differential geometry. Vol. III*, 2nd ed., Publish or Perish, Inc., Wilmington, Del., 1979. MR**532832**

Michael Spivak,*A comprehensive introduction to differential geometry. Vol. IV*, 2nd ed., Publish or Perish, Inc., Wilmington, Del., 1979. MR**532833**

Michael Spivak,*A comprehensive introduction to differential geometry. Vol. V*, 2nd ed., Publish or Perish, Inc., Wilmington, Del., 1979. MR**532834**

Michael Spivak,*A comprehensive introduction to differential geometry. Vol. I*, 2nd ed., Publish or Perish, Inc., Wilmington, Del., 1979. MR**532830**

Michael Spivak,*A comprehensive introduction to differential geometry. Vol. II*, 2nd ed., Publish or Perish, Inc., Wilmington, Del., 1979. MR**532831**

Michael Spivak,*A comprehensive introduction to differential geometry. Vol. III*, 2nd ed., Publish or Perish, Inc., Wilmington, Del., 1979. MR**532832**

Michael Spivak,*A comprehensive introduction to differential geometry. Vol. IV*, 2nd ed., Publish or Perish, Inc., Wilmington, Del., 1979. MR**532833**

Michael Spivak,*A comprehensive introduction to differential geometry. Vol. V*, 2nd ed., Publish or Perish, Inc., Wilmington, Del., 1979. MR**532834**

Michael Spivak,*A comprehensive introduction to differential geometry. Vol. I*, 2nd ed., Publish or Perish, Inc., Wilmington, Del., 1979. MR**532830**

Michael Spivak,*A comprehensive introduction to differential geometry. Vol. II*, 2nd ed., Publish or Perish, Inc., Wilmington, Del., 1979. MR**532831**

Michael Spivak,*A comprehensive introduction to differential geometry. Vol. III*, 2nd ed., Publish or Perish, Inc., Wilmington, Del., 1979. MR**532832**

Michael Spivak,*A comprehensive introduction to differential geometry. Vol. IV*, 2nd ed., Publish or Perish, Inc., Wilmington, Del., 1979. MR**532833**

Michael Spivak,*A comprehensive introduction to differential geometry. Vol. V*, 2nd ed., Publish or Perish, Inc., Wilmington, Del., 1979. MR**532834**

Michael Spivak,*A comprehensive introduction to differential geometry. Vol. I*, 2nd ed., Publish or Perish, Inc., Wilmington, Del., 1979. MR**532830**

Michael Spivak,*A comprehensive introduction to differential geometry. Vol. II*, 2nd ed., Publish or Perish, Inc., Wilmington, Del., 1979. MR**532831**

Michael Spivak,*A comprehensive introduction to differential geometry. Vol. III*, 2nd ed., Publish or Perish, Inc., Wilmington, Del., 1979. MR**532832**

Michael Spivak,*A comprehensive introduction to differential geometry. Vol. IV*, 2nd ed., Publish or Perish, Inc., Wilmington, Del., 1979. MR**532833**

Michael Spivak,*A comprehensive introduction to differential geometry. Vol. V*, 2nd ed., Publish or Perish, Inc., Wilmington, Del., 1979. MR**532834**

Michael Spivak,*A comprehensive introduction to differential geometry. Vol. I*, 2nd ed., Publish or Perish, Inc., Wilmington, Del., 1979. MR**532830**

Michael Spivak,*A comprehensive introduction to differential geometry. Vol. II*, 2nd ed., Publish or Perish, Inc., Wilmington, Del., 1979. MR**532831**

Michael Spivak,*A comprehensive introduction to differential geometry. Vol. III*, 2nd ed., Publish or Perish, Inc., Wilmington, Del., 1979. MR**532832**

Michael Spivak,*A comprehensive introduction to differential geometry. Vol. IV*, 2nd ed., Publish or Perish, Inc., Wilmington, Del., 1979. MR**532833**

Michael Spivak,*A comprehensive introduction to differential geometry. Vol. V*, 2nd ed., Publish or Perish, Inc., Wilmington, Del., 1979. MR**532834**

Review Information:

Reviewer: Jerry L. Kazdan

Affiliation: University of Pennsylvania

Email: kazdan@math.upenn.edu

Journal: Bull. Amer. Math. Soc.

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

DOI: https://doi.org/10.1090/S0273-0979-96-00664-7

Review copyright: © Copyright 1996 American Mathematical Society