Bounded orbits of nonquasiunipotent flows on homogeneous spaces

Dmitry Kleinbock, Gregori Aleksandrovitch Margulis

Type: Other

Publication Date: 1995-11-06

Citations: 146

DOI: https://doi.org/10.1090/trans2/171/11

Abstract

Let {gt} be a nonquasiunipotent one-parameter subgroup of a connected semisimple Lie group G without compact factors; we prove that the set of points in a homogeneous spaceG/Γ (Γ an irreducible lattice inG) with bounded {gt}-trajectories has full Hausdorff dimension. Using this we give necessary and sufficient conditions for this property to hold for any Lie group G and any lattice Γ in G.

Locations

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