Some smooth Finsler deformations of hyperbolic surfaces
Author(s)
Date issued
2009
In
Annals of Global Analysis and Geometry
Vol
2
No
35
From page
191
To page
226
Subjects
Finsler geometry Riemannian geometry Rigidity results MINIMAL ENTROPY RIGIDITY THEOREMS SPACES CURVATURE METRICS
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.
Publication type
journal article