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
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.
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, DOI 10.1007/978-1-4757-2201-7
Sylvestre Gallot, Dominique Hulin, and Jacques Lafontaine, Riemannian geometry, 2nd ed., Universitext, Springer-Verlag, Berlin, 1990. MR 1083149, DOI 10.1007/978-3-642-97242-3
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.
Robert Osserman, A survey of minimal surfaces, Van Nostrand Reinhold Co., New York-London-Melbourne, 1969. MR 0256278
Michael Spivak, A comprehensive introduction to differential geometry. Vol. I, 2nd ed., Publish or Perish, Inc., Wilmington, Del., 1979. MR 532830
- [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
DOI:
https://doi.org/10.1090/S0273-0979-96-00664-7
Review copyright:
© Copyright 1996
American Mathematical Society