A new Laplace operator in Finsler geometry and periodic orbits of Anosov flows
In the first part of this dissertation, we give a new definition of a Laplace operator for Finsler metric as an average, with regard to an angle measure, of the second directional derivatives. This operator is elliptic, symmetric with respect to the Holmes-Thompson volume, and coincides with the usu...
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| Language: | English |
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Université de Strasbourg
2012
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| Online Access: | http://tel.archives-ouvertes.fr/tel-00660059 http://tel.archives-ouvertes.fr/docs/00/74/28/36/PDF/Barthelme_Thomas_2012_ED269.pdf |