Bulletin of the American Mathematical Society

MathSciNet review: 1567518
Full text of review: PDF   This review is available free of charge.
Book Information:

Author: 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.

Ralph Abraham and Jerrold E. Marsden, Foundations of mechanics, Benjamin/Cummings Publishing Co., Inc., Advanced Book Program, Reading, Mass., 1978. Second edition, revised and enlarged; With the assistance of Tudor Raţiu and Richard Cushman. MR 515141

V. Arnold, Les méthodes mathématiques de la mécanique classique, Éditions Mir, Moscow, 1976 (French). Traduit du russe par Djilali Embarek. MR 0474391

N. Bourbaki, Éléments de mathématique. Fasc. XXXV. Livre VI: Intégration. Chapitre IX: Intégration sur les espaces topologiques séparés, Actualités Scientifiques et Industrielles [Current Scientific and Industrial Topics], No. 1343, Hermann, Paris, 1969 (French). MR 0276436

Shiing Shen Chern, From triangles to manifolds, Amer. Math. Monthly 86 (1979), no. 5, 339–349. MR 528789, DOI 10.2307/2321093

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.

Alan Weinstein, On the volume of manifolds all of whose geodesics are closed, J. Differential Geometry 9 (1974), 513–517. MR 390968

1.

Ralph Abraham and Jerrold Marsden, Foundations of mechanics, 2nd ed., Benjamin Cummings, Reading, Mass., 1978. MR 0515141

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