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arXiv · 0704.2927

Some smooth Finsler deformations of hyperbolic surfaces

Bruno Colbois·Florence Newberger·Patrick Verovic
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Abstract

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.

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Bruno Colbois, Florence Newberger, Patrick Verovic. 2007-04-23. Some smooth Finsler deformations of hyperbolic surfaces. https://doi.org/10.1007/s10455-088-9130-z

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