Antipodal sets of exceptional symmetric spaces
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911315768901632 |
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| author | Sasaki, Yuuki |
| author_facet | Sasaki, Yuuki |
| contents | In this paper, we study maximal antipodal sets in simply connected exceptional compact symmetric spaces. Combining our results with the existing literature, we obtain a complete classification of maximal antipodal sets in all such spaces. Moreover, through the description of antipodal sets, we disscus the inclusion relations among exceptional symmetric spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_11460 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Antipodal sets of exceptional symmetric spaces Sasaki, Yuuki Differential Geometry In this paper, we study maximal antipodal sets in simply connected exceptional compact symmetric spaces. Combining our results with the existing literature, we obtain a complete classification of maximal antipodal sets in all such spaces. Moreover, through the description of antipodal sets, we disscus the inclusion relations among exceptional symmetric spaces. |
| title | Antipodal sets of exceptional symmetric spaces |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2512.11460 |