Entropy rigidity for three dimensional volume preserving Anosov flows

2018/06/24 by Yang, Jiagang
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1806.09163

Abstract

The original proof has a gap, and need extra hypothesis that the strong stable and strong unstable filiation both to be C¹. The argument is like the following: with the regularity, one can show that the weak-stable and weak-unstable foliation both to be C^1+Lip, and then following the same argument as in the paper one can conclude the proof. But this extra hypothesis seems implying that the flow has a contact structure. Then it will be only a result which improves the Foulon's proof on contract structure for C^∞ regularity to C², not so interest.

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