The index of certain Stiefel manifolds
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866912052287635456 |
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| author | Basu, Samik Kundu, Bikramjit |
| author_facet | Basu, Samik Kundu, Bikramjit |
| contents | This paper computes the Fadell-Husseini index of Stiefel manifolds in the case where the group acts via permutations of the orthogonal vectors. The computations are carried out in the case of elementary Abelian $p$-groups. The results are shown to imply certain generalizations of the Kakutani-Yamabe-Yujobo theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2103_02500 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | The index of certain Stiefel manifolds Basu, Samik Kundu, Bikramjit Algebraic Topology Metric Geometry 55M20, 55M35 (Primary), 52A35, 55N91 (Secondary) This paper computes the Fadell-Husseini index of Stiefel manifolds in the case where the group acts via permutations of the orthogonal vectors. The computations are carried out in the case of elementary Abelian $p$-groups. The results are shown to imply certain generalizations of the Kakutani-Yamabe-Yujobo theorem. |
| title | The index of certain Stiefel manifolds |
| topic | Algebraic Topology Metric Geometry 55M20, 55M35 (Primary), 52A35, 55N91 (Secondary) |
| url | https://arxiv.org/abs/2103.02500 |