Quantum rigidity of negatively curved manifolds
A Chirvasitu - Communications in Mathematical Physics, 2016 - Springer
Communications in Mathematical Physics, 2016•Springer
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.
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.
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.
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