A Morse lemma for degenerate critical points with low differentiability

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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Bibliographic Details
Main Authors: Adriano A. de Moura, Fausto M. de Souza
Format: Article
Language:English
Published: Wiley 2000-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/S1085337500000245
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