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

Klingenberg, Wilhelm

 
9780821807033: Closed Geodesics on Riemannian Manifolds (CBMS Regional Conference Series in Mathematics)

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.

"synopsis" may belong to another edition of this title.