Partial hyperbolicity and homoclinic tangencies

Sylvain Crovisier; Martin Sambarino; Dawei Yang

doi:10.4171/jems/497

JournalsjemsVol. 17, No. 1pp. 1–49

Partial hyperbolicity and homoclinic tangencies

Sylvain Crovisier
Université Paris-Sud, Orsay, France
- MathSciNet
- zbMATH Open
Martin Sambarino
Universidad de la República, Montevideo, Uruguay
- MathSciNet
- zbMATH Open
Dawei Yang
Soochow University, Suzhou, China
- MathSciNet
- zbMATH Open

Download PDF

Abstract

We show that any diffeomorphism of a compact manifold can be $C^{1}$ approximated by diffeomorphisms exhibiting a homoclinic tangency or by diffeomorphisms having a partial hyperbolic structure.

Cite this article

Sylvain Crovisier, Martin Sambarino, Dawei Yang, Partial hyperbolicity and homoclinic tangencies. J. Eur. Math. Soc. 17 (2015), no. 1, pp. 1–49

DOI 10.4171/JEMS/497