This article is cited in 3 papers

An ergodic decomposition for homogeneous flows

A. N. Starkov


Abstract: An ergodic decomposition of an arbitrary $G$-induced flow on a space $G/D$ of finite volume is constructed under the condition that a semisimple Levi subgroup $S$ of the connected Lie group $G$ does not have compact factors. A method is presented that allows the study of a homogeneous flow of this form to be reduced to the study of a family of homogeneous ergodic flows.
Bibliography: 17 titles.

UDC: 519.46

MSC: Primary 22D40, 43A85; Secondary 58F25, 58F11, 22E25, 28D99

Received: 25.12.1985

 English version: Mathematics of the USSR-Izvestiya, 1988, 31:3, 503–525

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