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A Morse lemma for degenerate critical points with low differentiability

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  • Adriano A. de Moura
  • Fausto M. de Souza

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.

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Handle: RePEc:wly:jnlaaa:v:5:y:2000:i:2:p:113-118
DOI: 10.1155/S1085337500000245
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