AN AVERAGING TRICK FOR SMOOTH ACTIONS OF COMPACT QUANTUM GROUPS ON MANIFOLDS

摘要

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-infinity(M)-valued inner product on the space of one-forms is preserved by the action.