Abstract
We prove that, given any smooth action of a compact quantum group (in the sense of [9]) on a compact smooth manifold satisfying some more natural conditions, one can get a Riemannian structure on the manifold for which the corresponding C ∞(M)-valued inner product on the space of one-forms is preserved by the action.
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Dedicated to Prof. Kalyan B. Sinha on his 70th birthday.
Partially supported by Swarnajayanti Fellowship from D.S.T. (Govt. of India)
Acknowledges support from CSIR
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Goswami, D., Joardar, S. An averaging trick for smooth actions of compact quantum groups on manifolds. Indian J Pure Appl Math 46, 477–488 (2015). https://doi.org/10.1007/s13226-015-0147-2
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DOI: https://doi.org/10.1007/s13226-015-0147-2