On the volumetric entropy in the non compact case

• Navas, Andrés ^[1]
  1. [1] École Normale Supérieure de Lyon

     École Normale Supérieure de Lyon

     Arrondissement de Lyon, Francia

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 21, Nº. 1, 2002, págs. 97-108
• Idioma: inglés
• DOI: 10.4067/S0716-09172002000100006
• Enlaces
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• Resumen

  • We give an example of a non compact riemannian manifold with finite volume for which the limit corresponding to the classical definition of the volumetric entropy does not exist. This confirms the fact that in the non compact finite volume case, the natural definition is given by the critical exponent of the mean growth rate for the volume on the riemannian covering.

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