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arXiv:1104.5063 [math.DS]AbstractReferencesReviewsResources

Volume Preserving Diffeomorphisms with Weak and Limit Weak Shadowing

Manseob Lee

Published 2011-04-27, updated 2012-02-27Version 2

Let f be a volume-preserving diffeomorphism of a closed C1 n-dimensional Riemannian manifold M: In this paper, we prove the equivalence between the following conditions: (a) f belongs to the C1-interior of the set of volume-preserving diffeomorphisms which satisfy the weak shadowing property, (b) f belongs to the C1-interior of the set of volume-preserving diffeomorphisms which satisfy the limit weak shadowing property, (c) f is Anosov.

Comments: 9 pages. arXiv admin note: substantial text overlap with arXiv:1105.5917
Categories: math.DS
Subjects: 37C05, 37C29, 37C20, 37C50
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