Closed Geodesics on Riemannian Manifolds
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A01=Wilhelm Klingenberg
Author_Wilhelm Klingenberg
Category=PB
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Product details
- ISBN 9780821807033
- Weight: 129g
- Publication Date: 30 Dec 1983
- Publisher: American Mathematical Society
- Publication City/Country: US
- Product Form: Paperback
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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.
