Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Stable ergodicity in homogeneous spaces

Stable ergodicity in homogeneous spaces In this paper we prove that in the context of homogeneous spacesG/B which satisfy a certain admissibility requirement, stable ergodicity of an affine diffeomorphism implies that there is some hyperbolicity. Indeed, $$\overline {HB} = G$$ whereH is the hyperbolically generated subgroup ofG. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the Brazilian Mathematical Society, New Series Springer Journals

Loading next page...
 
/lp/springer-journals/stable-ergodicity-in-homogeneous-spaces-7hjIJl30Vk

References (12)

Publisher
Springer Journals
Copyright
Copyright © 1997 by Sociedade Brasileira de Matemática
Subject
Mathematics; Mathematics, general; Theoretical, Mathematical and Computational Physics
ISSN
1678-7544
eISSN
1678-7714
DOI
10.1007/BF01233391
Publisher site
See Article on Publisher Site

Abstract

In this paper we prove that in the context of homogeneous spacesG/B which satisfy a certain admissibility requirement, stable ergodicity of an affine diffeomorphism implies that there is some hyperbolicity. Indeed, $$\overline {HB} = G$$ whereH is the hyperbolically generated subgroup ofG.

Journal

Bulletin of the Brazilian Mathematical Society, New SeriesSpringer Journals

Published: Feb 11, 2005

There are no references for this article.