Pointwise hyperbolicity implies uniform hyperbolicity

Boris Hasselblatt, Yakov B. Pesin, Jörg Schmeling

Research output: Contribution to journalArticle

1 Citation (Scopus)

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.

Original languageEnglish (US)
Pages (from-to)2819-2827
Number of pages9
JournalDiscrete and Continuous Dynamical Systems- Series A
Volume34
Issue number7
DOIs
StatePublished - Jul 1 2014

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Anosov Diffeomorphism
Invariant Cone
Hyperbolicity
Diffeomorphism
Compact Manifold
Riemannian Manifold
Cones
Entire
Imply
Family

All Science Journal Classification (ASJC) codes

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

Cite this

Hasselblatt, Boris ; Pesin, Yakov B. ; Schmeling, Jörg. / Pointwise hyperbolicity implies uniform hyperbolicity. In: Discrete and Continuous Dynamical Systems- Series A. 2014 ; Vol. 34, No. 7. pp. 2819-2827.
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Pointwise hyperbolicity implies uniform hyperbolicity. / Hasselblatt, Boris; Pesin, Yakov B.; Schmeling, Jörg.

In: Discrete and Continuous Dynamical Systems- Series A, Vol. 34, No. 7, 01.07.2014, p. 2819-2827.

Research output: Contribution to journalArticle

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