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

Author

Listed:
  • Debashish Goswami

    (Indian Statistical Institute)

  • Soumalya Joardar

    (Indian Statistical Institute)

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.

Suggested Citation

  • Debashish Goswami & Soumalya Joardar, 2015. "An averaging trick for smooth actions of compact quantum groups on manifolds," Indian Journal of Pure and Applied Mathematics, Springer, vol. 46(4), pages 477-488, August.
    • Handle: RePEc:spr:indpam:v:46:y:2015:i:4:d:10.1007_s13226-015-0147-2
    DOI: 10.1007/s13226-015-0147-2
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