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Minimal sets of homogeneous flows

Published online by Cambridge University Press:  19 September 2008

A. N. Starkov
A. N. Starkov
Affiliation:
Department of Mathematics, Moscow State University, 117234 Moscow, Russia
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Abstract

Generalizing Ratner's topological theorem for unipotent flows we obtain a sufficient condition for an orbit closure of a flow on a homogeneous space of finite volume to be algebraic. We give some applications of the result to studying birecurrent and minimal sets of homogeneous flows.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 15 , Issue 2 , April 1995 , pp. 361 - 377
Copyright
Copyright © Cambridge University Press 1995

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