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PRODUCT ANOSOV DIFFEOMORPHISMS AND THE TWO-SIDED LIMIT SHADOWING PROPERTY.
- Source :
-
Proceedings of the American Mathematical Society . Mar2018, Vol. 146 Issue 3, p1151-1164. 14p. - Publication Year :
- 2018
-
Abstract
- We characterize product Anosov diffeomorphisms in terms of the two-sided limit shadowing property. It is proved that an Anosov diffeomorphism is a product Anosov diffeomorphism if and only if any lift to the universal covering has the unique two-sided limit shadowing property. Then we introduce two maps in a suitable Banach space such that fixed points of these maps are related with shadowing orbits on the universal covering. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 146
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 127634921
- Full Text :
- https://doi.org/10.1090/proc/13790