Continuous invariant cone families and ergodicity of flows in dimension three

Keith Burns, Marlies Gerber

Type: Article

Publication Date: 1989-03-01

Citations: 17

DOI: https://doi.org/10.1017/s014338570000479x

Abstract

Abstract It is shown that a C 2 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.

Locations

Ergodic Theory and Dynamical Systems - View - PDF

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