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arXiv · 2404.04196

Stable Lyapunov Spectrum Rigidity of Nilmanifold Endomorphisms

Ruihao Gu·Wenchao Li
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Abstract

Under some non-invertibility and irreducibility condition, for nilmanifold Anosov maps with one-dimensional stable bundle, we get the equivalence among the existence of invariant unstable bundle, the existence of topological conjugacy to its linear part, and a constant periodic stable Lyapunov exponent.

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Ruihao Gu, Wenchao Li. 2024-04-05. Stable Lyapunov Spectrum Rigidity of Nilmanifold Endomorphisms. https://arxiv.org/abs/2404.04196

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