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arXiv · 1503.07984

Quantum rigidity of negatively curved manifolds

Alexandru Chirvasitu
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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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BibTeXRIS

Alexandru Chirvasitu. 2015-03-27. Quantum rigidity of negatively curved manifolds. https://doi.org/10.1007/s00220-015-2553-z

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