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Partially hyperbolic diffeomorphisms that are center fixing

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arxiv 2402.13849 v1 pith:6DCA47CX submitted 2024-02-21 math.DS math.GT

Santiago Martinchich This is my paper
classification math.DSmath.GT
keywords centereveryhyperbolicpartiallyanosovcoherentdiffeomorphismdiffeomorphisms
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abstract

We show that every transitive dynamically coherent partially hyperbolic diffeomorphism with a one-dimensional center foliation $\W^c$ satisfying that $f(W)=W$ for every leaf $W\in \W^c$ is a discretized Anosov flow.

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