Manseob Lee

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20122019

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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…

math.DS2018

Kinematic N-expansive flows

Manseob Lee, Jumi Oh, Junmi Park

In light of the rich results of expansiveness in the dynamics of diffeomorphisms, it is natural to consider another notions of expansiveness such as countably-expansive, measure ex…

math.DS2016

Continuum-wise expansiveness for generic diffeomorphisms

Manseob Lee

Let $M$ be a closed smooth manifold and let $f : M \to M$ be a diffeomorphism. $C^{1}$ -generically, a continuum-wise expansive satisfies Axiom A without cycles. Moreover, there is a par…

math.DS2012

Stable weakly shadowable volume-preserving systems are volume-hyperbolic

Mario Bessa, Manseob Lee, Sandra Vaz

We prove that any C1-stably weakly shadowable volume-preserving diffeomorphism defined on a compact manifold displays a dominated splitting E + F. Moreover, both E and F are volume…