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arXiv · 1503.05357

An averaging trick for smooth actions of compact quantum groups on manifolds

Debashish Goswami·Soumalya Joardar
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Abstract

We prove that, given any smooth action of a compact quantum group (in the sense of \cite{rigidity}) on a compact smooth manifold satisfying some more natural conditions, one can get a Riemannian structure on the manifold for which the corresponding $C^\infty(M)$-valued inner product on the space of one-forms is preserved by the action.

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Debashish Goswami, Soumalya Joardar. 2015-03-18. An averaging trick for smooth actions of compact quantum groups on manifolds. https://arxiv.org/abs/1503.05357

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