English

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

Dynamical Systems 2016-05-30 v1

Abstract

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

Keywords

Cite

@article{arxiv.1605.08510,
  title  = {Bounded orbits of certain diagonalizable flows on $SL_{n}(\mathbb{R})/SL_{n}(\mathbb{Z})$},
  author = {Lifan Guan and Weisheng Wu},
  journal= {arXiv preprint arXiv:1605.08510},
  year   = {2016}
}

Comments

18 pages

R2 v1 2026-06-22T14:10:51.976Z