Polars and antipodal sets of generalized $s$-manifolds
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909742585085952 |
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| author | Ohno, Shinji Sakai, Takashi |
| author_facet | Ohno, Shinji Sakai, Takashi |
| contents | In this paper, we introduce the notion of generalized $s$-manifolds, which is a generalization of symmetric spaces. Then we give a method to construct generalized $s$-manifolds and present some typical examples. We study polars and antipodal sets of generalized $s$-manifolds aiming to extend the results on compact symmetric spaces due to Chen and Nagano. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_11855 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Polars and antipodal sets of generalized $s$-manifolds Ohno, Shinji Sakai, Takashi Differential Geometry 53C35 In this paper, we introduce the notion of generalized $s$-manifolds, which is a generalization of symmetric spaces. Then we give a method to construct generalized $s$-manifolds and present some typical examples. We study polars and antipodal sets of generalized $s$-manifolds aiming to extend the results on compact symmetric spaces due to Chen and Nagano. |
| title | Polars and antipodal sets of generalized $s$-manifolds |
| topic | Differential Geometry 53C35 |
| url | https://arxiv.org/abs/2508.11855 |