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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.

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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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