Goswami, Debashish ; Joardar, Soumalya (2015) An averaging trick for smooth actions of compact quantum groups on manifolds Indian Journal of Pure and Applied Mathematics, 46 (4). pp. 477-488. ISSN 0019-5588
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Official URL: http://link.springer.com/article/10.1007/s13226-01...
Related URL: http://dx.doi.org/10.1007/s13226-015-0147-2
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.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Springer Verlag. |
| Keywords: | Quantum Isometry Groups; Riemannian Metric; Averaging Trick |
| ID Code: | 102138 |
| Deposited On: | 01 Feb 2018 04:02 |
| Last Modified: | 01 Feb 2018 04:02 |
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