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Real-analytic weak mixing diffeomorphisms preserving a measurable Riemannian metric

Published online by Cambridge University Press:  05 July 2016

PHILIPP KUNDE
PHILIPP KUNDE*
Affiliation:
Department of Mathematics, University of Hamburg, Bundesstrasse 55, Hamburg, Germany email philipp.kunde@math.uni-hamburg.de
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Abstract

On the torus $\mathbb{T}^{m}$ of dimension $m\geq 2$ we prove the existence of a real-analytic weak mixing diffeomorphism preserving a measurable Riemannian metric. The proof is based on a real-analytic version of the approximation by conjugation method with explicitly defined conjugation maps and partition elements.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 37 , Issue 5 , August 2017 , pp. 1547 - 1569
Copyright
© Cambridge University Press, 2016 

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