Manseob Lee

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20122019

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math.DS2019

Singular hyperbolicity of $C^{1}$ generic three dimensional vector fields

Manseob Lee

In the paper, we show that for a generic $C^{1}$ vector field $X$ on a closed three dimensional manifold $M$ , any isolated transitive set of $X$ is singular hyperbolic. It is a parti…

math.DS2019

Inverse pseudo orbit tracing property for robust diffeomorphisms

Manseob Lee

Let $M$ be a closed smooth Riemannian manifold $M$ , and let $f : M \to M$ be a diffeomorphism. Herein, we demonstrate that (i) if $f$ has the $C^{1}$ robustly inverse shadowing property…

Singular hyperbolicity of C1 generic three dimensional vector fields

Inverse pseudo orbit tracing property for robust diffeomorphisms

Singular hyperbolicity of $C^{1}$ generic three dimensional vector fields