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

Lifan Guan; Weisheng Wu

arxiv: 1605.08510 · v1 · pith:YO3QB3GYnew · submitted 2016-05-27 · 🧮 math.DS

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

Lifan Guan , Weisheng Wu This is my paper

classification 🧮 math.DS

keywords mathbbboundedcertaindiagonalizableflowsorbitsabsolutehyperplane

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

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

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