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Book Review
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Book Information
Author(s):
Arthur L. Besse
Title:
Manifolds all of whose geodesics are closed
Additional book information:
Ergebnisse der Mathematik und ihrer Grenzgebiete, vol. 93, Springer-Verlag, Berlin-Heidelberg-New York, ix + 262 pp., 1978, $40.00. ISBN 0-3870-8158-5
References:
- 1.
- Ralph Abraham and Jerrold Marsden, Foundations of mechanics, 2nd ed., Benjamin Cummings, Reading, Mass., 1978. MR 515141
- 2.
- V. I. Arnol'd, Mathematical methods of classical mechanics, Graduate Texts in Math., vol. 60, Springer-Verlag, New York, 1978. MR 690288
- 3.
- N. Bourbaki, Éléments de mathématique, Fasc. 24 Livre II, Chapitre 9, Formes sesquilineares et formes quadratiques, Hermann, Paris, 1969. MR 276436
- 4.
- S. S. Chern, From triangles to manifolds, Amer. Math. Monthly 86 (1979), 339-349. MR 528789
- 5.
- Ian N. Sneddon, Reivew of [2, 7], Bull. Amer. Math. Soc. (N.S.) 2 (1980), 346-352.
- 6.
- Shlomo Sternberg, Review of [l], Bull. Amer. Math. Soc. (N.S.) 2 (1980), 378-387.
- 7.
- W. Thiring, Classical dynamical systems, Springer-Verlag, New York, 1978.
- 8.
- A. Weinstein, On the volume of manifolds all of whose geodesics are closed, J. Differential Geom. 9 (1974), 513-517. MR 390968
Additional Information:
Reviewer(s):
Richard L.
Bishop
Review Information:
Journal:
Bull. Amer. Math. Soc.
11
(1984),
400-404.
DOI:
10.1090/S0273-0979-1984-15329-1
PII:
S 0273-0979(1984)15329-1
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