Albanian Journal of Mathematics (ISNN: 1930-1235), Vol 7, No 1 (2013)

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Morse theory with low differentiability for functional energy of a Finsler metric

Fausto Marçal de Souza

Abstract


The aim of this paper is to extend the Morse theory of (ΛM; E) with low differentiability and degenerate critical points, where ΛM is the space of H1-closed curves on an n-dimensional compact manifold M endowed with a Finsler metric F : TM → R and E : ΛM → R is the associated energy integral, or simply the energy.

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