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Volume-Preserving Diffeomorphisms with Various Limit Shadowing

Manseob Lee

Department of Mathematics, Mokwon University, Daejeon 302-729, Korea

https://doi.org/10.1142/S0218127415500182Cited by:2 (Source: Crossref)

Abstract

We present the following: (1) if a volume-preserving diffeomorphism has C¹-robustly various limit shadowing property, then it is Anosov; (2) C¹-generically, if a volume-preserving diffeomorphism has various limit shadowing property, then it is Anosov.

Keywords:

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