Singular hyperbolicity of $C^1$ generic three dimensional vector fields
Dynamical Systems
2022-10-19 v3 Differential Geometry
Abstract
In the paper, we show that for a generic vector field on a closed three dimensional manifold , any isolated transitive set of is singular hyperbolic. It is a partial answer of the conjecture in \cite{MP}.
Keywords
Cite
@article{arxiv.1911.00618,
title = {Singular hyperbolicity of $C^1$ generic three dimensional vector fields},
author = {Manseob Lee},
journal= {arXiv preprint arXiv:1911.00618},
year = {2022}
}
Comments
20page