Weakly mixing diffeomorphisms preserving a measurable Riemannian metric are dense in ${\mathcal{A}}_{\alpha }\left(M\right)$ for arbitrary Liouvillean number $\alpha$

Roland Gunesch, Philipp Kunde

We show that on any smooth compact connected manifold of dimension $m\ge 2$ admitting a smooth non-trivial circle action $\mathcal{S}={\left\{S_t\right\}}_{t\in \mathbb{R}}$, $S_…