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您的检索式：作者名="Manseob LEE"
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| 1 | Diffeomorphisms with C^1-stably Average Shadowing显示文摘Let M be a closed smooth manifold M, and let f : M → M be a diffeomorphism. In this paper, we consider a nontrivial transitive set Λ of f . We show that if f has the C1-stably average shadowing property on Λ, then Λ admits a dominated splitting. | Manseob LEE Xiao WEN | 2013 | Acta Mathematica Sinica,English Series2013，29，1： | 2 |
| 2 | Stable Weakly Shadowable Volume-preserving Systems Are Volume-hyperbolic显示文摘We prove that any C1-stable weakly shadowable volume-preserving diffeomorphism defined on a compact manifold displays a dominated splitting E ⊕ F. Moreover, both E and F are volume-hyperbolic. Finally, we prove the version of this result for divergence-free vector fields. As a consequence, in low dimensions, we obtain global hyperbolicity. | Mrio BESSA Manseob LEE Sandra VAZ | 2014 | Acta Mathematica Sinica,English Series2014，30，6： | 1 |
| 3 | SHADOWING,EXPANSIVENESS AND SPECIFICATION FOR C^1-CONSERVATIVE SYSTEMS显示文摘We prove that a C^1-generic volume-preserving dynamical system(diffeomorphism or flow) has the shadowing property or is expansive or has the weak specification property if and only if it is Anosov.Finally,as in[10,27],we prove that the C^1-robustness,within the volume-preserving context,of the expansiveness property and the weak specification property,imply that the dynamical system(diffeomorphism or flow) is Anosov. | Mario BESSA Manseob LEE 文晓 | 2015 | Acta Mathematica Scientia2015，35，3： | 1 |
| 4 | A GENERALIZED LIPSCHITZ SHADOWING PROPERTY FOR FLOWS显示文摘In this paper,we define a generalized Lipschitz shadowing property for flows and prove that a flowΦgenerated by a C1vector field X on a closed Riemannian manifold M has this generalized Lipschitz shadowing property if and only if it is structurally stable. | 韩波 Manseob LEE | 2023 | Acta Mathematica Scientia2023，43，1： | 0 |
| 5 | The Barycenter Property for Robust and Generic Diffeomorphisms显示文摘Let f:M^d→M^d(d≥2) be a diffeomorphism on a compact C~∞ manifold on M.If a diffeomorphism f belongs to the C^1-interior of the set of all diffeomorphisms having the barycenter property,then f is Ω-stable.Moreover,if a generic diffeomorphism f has the barycenter property,then f is Ω-stable.We also apply our results to volume preserving diffeomorphisms. | Manseob LEE | 2016 | Acta Mathematica Sinica,English Series2016，32，8： | 0 |
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