Some Observations on projective Stiefel Manifolds
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866908530926157824 |
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| author | Kundu, Bikramjit Podder, Sudeep |
| author_facet | Kundu, Bikramjit Podder, Sudeep |
| contents | In this note, we compute the upper characteristic rank of the projective Stiefel manifolds over $\mathbb{R}, \mathbb{C}$ and $\mathbb{H}$ and the flip Stiefel manifolds. We also provide bounds for the $\mathrm{cup}$ lengths of these spaces. We also provide necessary conditions for the existence of $S^3$-map between quaternionic Stiefel manifolds using the Fadell-Husseini index. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_14207 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Some Observations on projective Stiefel Manifolds Kundu, Bikramjit Podder, Sudeep Geometric Topology Algebraic Topology 57R20 In this note, we compute the upper characteristic rank of the projective Stiefel manifolds over $\mathbb{R}, \mathbb{C}$ and $\mathbb{H}$ and the flip Stiefel manifolds. We also provide bounds for the $\mathrm{cup}$ lengths of these spaces. We also provide necessary conditions for the existence of $S^3$-map between quaternionic Stiefel manifolds using the Fadell-Husseini index. |
| title | Some Observations on projective Stiefel Manifolds |
| topic | Geometric Topology Algebraic Topology 57R20 |
| url | https://arxiv.org/abs/2403.14207 |