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Closed Geodesics on Riemannian Manifolds.
・ISBN 978-0-8218-0703-3 paper US$ 31.00
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| 著者・編者 | Klingenberg, Wilhelm, |
|---|---|
| シリーズ | CBMS Regional Conference Series in Mathematics |
| 出版社 | (American Mathematical Society, US) |
| 出版年月 | 1983 |
| ページ数 | 79 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-25944＞ |
解説
This book contains expository lectures from the CBMS Regional Conference held at the University of Florida, 1982. The author considers a space formed by all closed curves in which the closed geodesics are characterized as the critical points of a functional, an idea going back to Morse. This exposition gives a refined version of Morse's approach which has several advantages over the old one - in particular, it possesses a canonical $\mathbf O(2)$-action.