Published online by Cambridge University Press: 05 July 2016
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.