arXiv Analytics

Sign in

arXiv:1605.08510 [math.DS]AbstractReferencesReviewsResources

Bounded orbits of certain diagonalizable flows on $SL_{n}(\mathbb{R})/SL_{n}(\mathbb{Z})$

Lifan Guan, Weisheng Wu

Published 2016-05-27Version 1

We prove that the set of points that have bounded orbits under certain diagonalizable flows is a hyperplane absolute winning subset of $SL_{n}(\mathbb{R})/SL_{n}(\mathbb{Z})$.

Related articles: Most relevant | Search more
arXiv:1501.05409 [math.DS] (Published 2015-01-22)
Bounded orbits of diagonalizable flows on $\rm{SL}_3(\mathbb{R})/\rm{SL}_3(\mathbb{Z})$
arXiv:2207.13155 [math.DS] (Published 2022-07-26)
Dimension drop for diagonalizable flows on homogeneous spaces
arXiv:2307.16682 [math.DS] (Published 2023-07-31)
Wandering domains with nearly bounded orbits