HYPERBOLICITY OF CHAIN TRANSITIVE SETS WITH LIMIT SHADOWING

Title & Authors
HYPERBOLICITY OF CHAIN TRANSITIVE SETS WITH LIMIT SHADOWING
Fakhari, Abbas; Lee, Seunghee; Tajbakhsh, Khosro;

Abstract
In this paper we show that any chain transitive set of a diffeomorphism on a compact $\small{C^{\infty}}$-manifold which is $\small{C^1}$-stably limit shadowable is hyperbolic. Moreover, it is proved that a locally maximal chain transitive set of a $\small{C^1}$-generic diffeomorphism is hyperbolic if and only if it is limit shadowable.
Keywords
noncommutative complex torus;mirror symmetry;Kronecker foliation;
Language
English
Cited by
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