Continuous invariant cone families and ergodicity of flows in dimension three

Keith Burns; Marlies Gerber

doi:10.1017/S014338570000479X

Continuous invariant cone families and ergodicity of flows in dimension three

Keith Burns, Marlies Gerber

Mathematics

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

It is shown that a C² flow on a compact three-dimensional manifold that preserves a smooth measure and has a continuous family of cones satisfying a certain invariance property must be ergodic.

Original language	English (US)
Pages (from-to)	19-25
Number of pages	7
Journal	Ergodic Theory and Dynamical Systems
Volume	9
Issue number	1
DOIs	https://doi.org/10.1017/S014338570000479X
State	Published - Mar 1989

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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Continuous invariant cone families and ergodicity of flows in dimension three

Abstract

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