A Morse lemma for degenerate critical points with low differentiability
de Moura, Adriano A. ; de Souza, Fausto M.
Abstr. Appl. Anal., Tome 5 (2000) no. 1, p. 113-118 / Harvested from Project Euclid
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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.
Publié le : 2000-05-14
Classification:  53A07 
@article{1049999286,
     author = {de Moura, Adriano A. and de Souza, Fausto M.},
     title = {A Morse lemma for degenerate critical points with low differentiability},
     journal = {Abstr. Appl. Anal.},
     volume = {5},
     number = {1},
     year = {2000},
     pages = { 113-118},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1049999286}
}

de Moura, Adriano A.; de Souza, Fausto M. A Morse lemma for degenerate critical points with low differentiability. Abstr. Appl. Anal., Tome 5 (2000) no. 1, pp.  113-118. http://gdmltest.u-ga.fr/item/1049999286/