Polars and antipodal sets of generalized $s$-manifolds
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866909742585085952 |
|---|---|
| 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 |