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

Debashish Goswami () and Soumalya Joardar
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Debashish Goswami: Indian Statistical Institute
Soumalya Joardar: Indian Statistical Institute

Indian Journal of Pure and Applied Mathematics, 2015, vol. 46, issue 4, 477-488

Abstract: 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.

Keywords: Quantum isometry groups; Riemannian metric; averaging trick (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s13226-015-0147-2

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