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Some smooth Finsler deformations of hyperbolic surfaces

Auteur(s)
Colbois, Bruno 
Institut de mathématiques 
Newberger, Florence
Verovic, Patrick
Date de parution
2009
In
Annals of Global Analysis and Geometry
Vol.
2
No
35
De la page
191
A la page
226
Mots-clés
  • Finsler geometry
  • Riemannian geometry
  • Rigidity results
  • MINIMAL ENTROPY
  • RIGIDITY THEOREMS
  • SPACES
  • CURVATURE
  • METRICS
  • Finsler geometry

  • Riemannian geometry

  • Rigidity results

  • MINIMAL ENTROPY

  • RIGIDITY THEOREMS

  • SPACES

  • CURVATURE

  • METRICS

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
https://libra.unine.ch/handle/123456789/8570
Type de publication
journal article
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