Closed geodesics on Riemannian manifolds
著者
書誌事項
Closed geodesics on Riemannian manifolds
（Regional conference series in mathematics, no. 53）
Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, c1983
- : pbk
大学図書館所蔵 件 / 全49件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
"Expository lectures from the CBMS regional conference held at the University of Florida, August 2-6, 1982"--T.p. verso
Bibliography: p. 77-79
内容説明・目次
内容説明
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.
目次
The Hilbert manifold of $H^1$-curves The loop space and the space of closed curves The second order neighborhood of a critical point Appendix. The $S^1$- and the $Z_2$-action on $\Lambda M$ Closed geodesics on spheres On the existence of infinitely many closed geodesics.
「Nielsen BookData」 より