A Morse lemma for degenerate critical points with low differentiability
Adriano A. de Moura1and Fausto M. de Souza2
Received30 Jun 2000
Abstract
We prove a Morse type lemma for, possibly degenerate, critical
points of a C1 function twice strongly differentiable at those points, which allows us to recover, for Finsler metrics, the theorem of Gromoll and Meyer on the existence of infinitely many closed geodesics.