$C^1$ Pesin (un)stable manifold without domination
Dynamical Systems
2025-10-28 v2
Abstract
For diffeomorphisms with continuous invariant splitting without domination, we prove the existence of (un)stable manifold under the hyperbolicity of invariant measures.
Cite
@article{arxiv.2402.11263,
title = {$C^1$ Pesin (un)stable manifold without domination},
author = {Yongluo Cao and Zeya Mi and Rui Zou},
journal= {arXiv preprint arXiv:2402.11263},
year = {2025}
}