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Continuous invariant cone families and ergodicity of flows in dimension three

Published online by Cambridge University Press:  19 September 2008

Keith Burns  and
Marlies Gerber
Keith Burns
Affiliation:
Department of mathematics, Indiana university, Bloomington, IN 47405, USA
Marlies Gerber
Affiliation:
Department of mathematics, Indiana university, Bloomington, IN 47405, USA
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Abstract

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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.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 9 , Issue 1 , March 1989 , pp. 19 - 25
Copyright
Copyright © Cambridge University Press 1989

References

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