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Some smooth Finsler deformations of hyperbolic surfaces
Auteur(s)
Date de parution
2009
In
Annals of Global Analysis and Geometry
Vol.
2
No
35
De la page
191
A la page
226
Résumé
Given a closed hyperbolic Riemannian surface, the aim of the present paper is to describe an explicit construction of smooth deformations of the hyperbolic metric into Finsler metrics that are not Riemannian and whose properties are such that the classical Riemannian results about entropy rigidity, marked length spectrum rigidity and boundary rigidity all fail to extend to the Finsler category.
Identifiants
Type de publication
journal article