Pressure rigidity of three dimensional contact Anosov flows

Yong Fang (1)

1 IRMA - Institut de Recherche Mathématique Avancée

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.

Keywords: topological pressure; entropy; contact flows; Anosov flows

Domains: Dynamical Systems [math.DS]

Yong Fang. Pressure rigidity of three dimensional contact Anosov flows. 2005. ⟨hal-00004413⟩