Pressure rigidity of three dimensional contact Anosov flows

2005/03/10 by Yong Fang, Fang, Yong
Mathematics · Physics and Astronomy · #37D20 #37D35 #37D40 #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #Theoretical and Computational Physics #math.DS #msc:37D20 #msc:37D35 #msc:37D40

paper · pdf · doi:10.48550/arxiv.math/0503191

This article is sumitted to Mathematische Annalen

arxiv created 2005/03/10 · openalex publication_date 2005/03/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the cohomological pressure introduced by R.Sharp (defined by using topological pressures of certain potentials of Anosov flows). In particular, we get the rigidity in the case that this pressure coincides with the metrical entropy, generalising related rigidity results of A.Katok and P. Foulon.

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