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]**Buser, Peter,*Geometry and spectra of compact Riemann surfaces*, Progress in Mathematics, Birkhauser, Basel and Boston, 1992. MR**93g:58149****[Ch]**Chavel, Isaac,*Eigenvalues in Riemannian geometry*, Academic Press, New York, 1984.**[doC]**do Carmo, Manfredo Perdigao,*Riemannian geometry*, Birkhauser, Basel and Boston, 1992. MR**92i:53001****[GHL]**Gallot, Sylvestre, Dominique Hulin, and Jacques Lafontaine,*Riemannian geometry*, Second Edition, Universitext, Springer-Verlag, Berlin and New York, 1990. MR**91j:53001****[HT]**Hildebrandt, S. and A. Tromba,*Mathematics and optimal form*, Scientific American Library, New York, 1985. MR**87k:00009****[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]**------,*Survey of minimal surfaces*, Van Nostrand, 1969, Second Edition published by Dover, New York, 1986. MR**41:934**; MR**87j:53012****[Sp]**Spivak, Michael,*A comprehensive introduction to differential geometry*, Vols. 1--5, Publish or Perish, Inc., Houston, TX, 2nd edition, 1979. MR**82g:53003a**; MR**82g:53003b**; MR**82g:53003c**; MR**82g:53003d**; MR**82g:53003e**

Review Information:

Reviewer: Jerry L. Kazdan

Affiliation: University of Pennsylvania

Email: kazdan@math.upenn.edu

Journal: Bull. Amer. Math. Soc.

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

MSC (1991): Primary 53B20, 53B21, 53C20; Secondary 53C22, 53C23

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

Review copyright: © Copyright 1996 American Mathematical Society