Closed Geodesics on Riemannian Manifolds (Cbms Regional Conference Series in Mathematics) - Wilhelm Klingenberg (1983) |
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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. |
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"Expository lectures from the CBMS regional conference held at the University of Florida, August 2-6, 1982"--T.p. verso. |