Corro, Diego, Núñez-Zimbrón, Jesús and Zarei, Masoumeh
2022.
Torus actions on Alexandrov 4-spaces.
Journal of Geometric Analysis
32
(8)
, 214.
10.1007/s12220-022-00935-x
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Official URL: http://dx.doi.org/10.1007/s12220-022-00935-x
Abstract
We obtain an equivariant classification for orientable, closed, four-dimensional Alexandrov spaces admitting an isometric torus action. This generalizes the equivariant classification of Orlik and Raymond of closed four-dimensional manifolds with torus actions. Moreover, we show that such Alexandrov spaces are equivariantly homeomorphic to 4-dimensional Riemannian orbifolds with isometric T2 -actions. We also obtain a partial homeomorphism classification.
| Item Type: | Article |
|---|---|
| Date Type: | Publication |
| Status: | Published |
| Schools: | Schools > Mathematics |
| Publisher: | Springer |
| ISSN: | 1050-6926 |
| Date of First Compliant Deposit: | 8 September 2023 |
| Date of Acceptance: | 11 April 2022 |
| Last Modified: | 08 Sep 2023 11:00 |
| URI: | https://orca.cardiff.ac.uk/id/eprint/162208 |
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