Pointwise hyperbolicity implies uniform hyperbolicity
(2014) In Discrete and Continuous Dynamical Systems. Series A 34(7). p.2819-2827- Abstract
- We provide a general mechanism for obtaining uniform information from pointwise data. For instance, a diffeomorphism of a compact Riemannian manifold with pointwise expanding and contracting continuous invariant cone families is an Anosov diffeomorphism, i.e., the entire manifold is uniformly hyperbolic.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/4272235
- author
- Hasselblatt, Boris ; Pesin, Yakov and Schmeling, Jörg LU
- organization
- publishing date
- 2014
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Uniform hyperbolicity, nonuniform hyperbolicity, pointwise hyperbolicity
- in
- Discrete and Continuous Dynamical Systems. Series A
- volume
- 34
- issue
- 7
- pages
- 2819 - 2827
- publisher
- American Institute of Mathematical Sciences
- external identifiers
-
- wos:000328253400008
- scopus:84892377254
- ISSN
- 1553-5231
- DOI
- 10.3934/dcds.2014.34.2819
- language
- English
- LU publication?
- yes
- id
- 52daa59c-6714-4a4f-b955-210c1792da02 (old id 4272235)
- date added to LUP
- 2016-04-01 13:46:09
- date last changed
- 2022-01-27 20:59:28
@article{52daa59c-6714-4a4f-b955-210c1792da02, abstract = {{We provide a general mechanism for obtaining uniform information from pointwise data. For instance, a diffeomorphism of a compact Riemannian manifold with pointwise expanding and contracting continuous invariant cone families is an Anosov diffeomorphism, i.e., the entire manifold is uniformly hyperbolic.}}, author = {{Hasselblatt, Boris and Pesin, Yakov and Schmeling, Jörg}}, issn = {{1553-5231}}, keywords = {{Uniform hyperbolicity; nonuniform hyperbolicity; pointwise hyperbolicity}}, language = {{eng}}, number = {{7}}, pages = {{2819--2827}}, publisher = {{American Institute of Mathematical Sciences}}, series = {{Discrete and Continuous Dynamical Systems. Series A}}, title = {{Pointwise hyperbolicity implies uniform hyperbolicity}}, url = {{http://dx.doi.org/10.3934/dcds.2014.34.2819}}, doi = {{10.3934/dcds.2014.34.2819}}, volume = {{34}}, year = {{2014}}, }