A Morse lemma for degenerate critical points with low differentiability

Adriano A. de Moura and Fausto M. de Souza

Abstract and Applied Analysis, 2000, vol. 5, 1-6

Abstract:

We prove a Morse type lemma for, possibly degenerate, critical points of a C 1 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.

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:642961

DOI: 10.1155/S1085337500000245

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