Abstract
In this paper, we compute precisely Morse indices of iterates of the two closed geodesics on the 2-sphere with Katok’s metric. This information is used to give a direct proof for the Poincaré series of the free loop space on S2.
Published Online: 2016-03-10
Published in Print: 2008-08-01
© 2016 by Advanced Nonlinear Studies, Inc.
