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Smooth Stable Foliations of Anosov Diffeomorphisms

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arxiv 2310.19088 v1 pith:MNF3D6WC submitted 2023-10-29 math.DS

Ruihao Gu This is my paper · ORCID
classification math.DS
keywords diffeomorphismsfoliationsanosovsmoothstablebiggercodimension-onefocus
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abstract

In this paper, we focus on the rigidity of $C^{2+}$-smooth codimension-one stable foliations of Anosov diffeomorphisms. Specifically, we show that if the regularity of these foliations is slightly bigger than $2$, then they will have the same smoothness as the diffeomorphisms.

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  1. Invariant distributions of partially hyperbolic systems: fractal graphs, excessive regularity, and rigidity

    math.DS 2024-11 conditional novelty 8.0 of 10

    For volume-preserving partially hyperbolic Anosov diffeomorphisms on T^3, smooth rigidity is equivalent to the stable and center distributions exceeding their critical Hölder exponents; otherwise these distributions h...

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