Quantum rigidity of negatively curved manifolds

Abstract

We show that an isometric action of a compact quantum group on the underlying geodesic metric space of a compact connected Riemannian manifold $(M,g)$ with strictly negative curvature is automatically classical, in the sense that it factors through the action of the isometry group of $(M,g)$. This partially answers a question by D. Goswami.

23 pages + references

References in corpus (1)

• On quantum symmetries of compact metric spaces

Cited by in corpus (2)

• Liberations and twists of real and complex spheres
• Existence and rigidity of quantum isometry groups for compact metric spaces