Closed Geodesics on Riemannian Manifolds (CBMS Regional Conference Series in Mathematics)

Closed Geodesics on Riemannian Manifolds (CBMS Regional Conference Series in Mathematics)

By: Wilhelm Klingenberg (author)Paperback

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Description

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.

Contents

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.

Product Details

  • ISBN13: 9780821807033
  • Format: Paperback
  • Number Of Pages: 79
  • ID: 9780821807033
  • ISBN10: 082180703X

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