Bruno Colbois, Florence Newberger, Patrick Verovic
Published 2007-04-23Version 1
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.
Journal: Annals of Global Analysis and Geometry 35, 2 (2009) 191--226
Geodesic stretch, pressure metric and marked length spectrum rigidity
Boundary rigidity, and non-rigidity, of projective structures
Poisson structures on the Teichmueller space of hyperbolic surfaces with conical points
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