تقرير
Torus actions on Alexandrov 4-spaces
| العنوان: | Torus actions on Alexandrov 4-spaces |
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| المؤلفون: | Corro, Diego, Núñez-Zimbrón, Jesús, Zarei, Masoumeh |
| المصدر: | J. Geom. Anal. 32 (2022) Paper No. 214, 35 pp |
| سنة النشر: | 2019 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Differential Geometry, Mathematics - Metric Geometry, 53C23, 57S15, 57S25 |
| الوصف: | 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 $T^2$-actions. We also obtain a partial homeomorphism classification. Comment: 30 pages, 6 figures, 2 tables. We added subsections 2.4 and 2.5 for convenience of the reader, and modified sections 3, 4, 5, 6, and 7, to improve the clarity of the proof of the main results |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1007/s12220-022-00935-x |
| URL الوصول: | http://arxiv.org/abs/1902.09402 |
| رقم الأكسشن: | edsarx.1902.09402 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1007/s12220-022-00935-x |
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