Access the full text.
Sign up today, get DeepDyve free for 14 days.
W. Fulton, J. Harris (1991)
Representation Theory: A First Course
N. Bourbaki (1971)
Groupes et algèbres de Lie
E. Hopf (1971)
Ergodic theory and the geodesic flow on surfaces of constant negative curvatureBulletin of the American Mathematical Society, 77
W. Parry (1970)
Dynamical systems on nilmanifoldsBulletin of The London Mathematical Society, 2
R. J. Zimmer (1984)
Ergodic Theory on Semi-Simple Groups
A. Onishchik, E. Vinberg (1993)
Lie Groups and Lie Algebras III
C. Pugh, M. Shub (1997)
Stably Ergodic Dynamical Systems and Partial HyperbolicityJ. Complex., 13
W. Parry (1969)
ERGODIC PROPERTIES OF AFFINE TRANSFORMATIONS AND FLOWS ON NILMANIFOLDS.American Journal of Mathematics, 91
J. Brezin, C. Moore (1981)
Flows on Homogeneous Spaces: A New LookAmerican Journal of Mathematics, 103
V. Varadarajan (1974)
Lie groups, Lie algebras, and their representations
(1974)
Englewood Cli s
C. Moore (1966)
ERGODICITY OF FLOWS ON HOMOGENEOUS SPACES.American Journal of Mathematics, 88
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.
Bulletin of the Brazilian Mathematical Society, New Series – Springer Journals
Published: Feb 11, 2005
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.