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Smooth Stable Foliations of Anosov Diffeomorphisms

Dynamical Systems 2023-10-31 v1

Abstract

In this paper, we focus on the rigidity of C2+C^{2+}-smooth codimension-one stable foliations of Anosov diffeomorphisms. Specifically, we show that if the regularity of these foliations is slightly bigger than 22, then they will have the same smoothness as the diffeomorphisms.

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Cite

@article{arxiv.2310.19088,
  title  = {Smooth Stable Foliations of Anosov Diffeomorphisms},
  author = {Ruihao Gu},
  journal= {arXiv preprint arXiv:2310.19088},
  year   = {2023}
}

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9 pages