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Closed Geodesics on Riemannian Manifolds

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Closed Geodesics on Riemannian Manifolds Synopsis

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.

About This Edition

ISBN: 9780821807033
Publication date:
Author: Wilhelm Klingenberg, Conference Board of the Mathematical Sciences
Publisher: American Mathematical Society
Format: Paperback
Pagination: 79 pages
Series: Regional Conference Series in Mathematics
Genres: Calculus and mathematical analysis
Mathematics