CBMS Regional Conference Series in Mathematics 1983; 79 pp; softcover Number: 53 ISBN10: 082180703X ISBN13: 9780821807033 List Price: US$25 Member Price: US$20 All Individuals: US$20 Order Code: CBMS/53
 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 onein particular, it possesses a canonical \(\mathbf O(2)\)action. Readership Table of 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
