The intersection of two real flag manifolds in a complex flag manifold
Fuente:
arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866908454137888768 |
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| author | Ikawa, Osamu Iriyeh, Hiroshi Okuda, Takayuki Sakai, Takashi Tasaki, Hiroyuki |
| author_facet | Ikawa, Osamu Iriyeh, Hiroshi Okuda, Takayuki Sakai, Takashi Tasaki, Hiroyuki |
| contents | We give a necessary and sufficient condition for two real flag manifolds, which are not necessarily congruent, in a complex flag manifold to intersect transversally in terms of the symmetric triad. Then we show that the intersection of two real flag manifolds is antipodal. As an application, we prove that any real flag manifold in a complex flag manifold is a globally tight Lagrangian submanifold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_12785 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The intersection of two real flag manifolds in a complex flag manifold Ikawa, Osamu Iriyeh, Hiroshi Okuda, Takayuki Sakai, Takashi Tasaki, Hiroyuki Differential Geometry 53C30, 17B22, 53C40 We give a necessary and sufficient condition for two real flag manifolds, which are not necessarily congruent, in a complex flag manifold to intersect transversally in terms of the symmetric triad. Then we show that the intersection of two real flag manifolds is antipodal. As an application, we prove that any real flag manifold in a complex flag manifold is a globally tight Lagrangian submanifold. |
| title | The intersection of two real flag manifolds in a complex flag manifold |
| topic | Differential Geometry 53C30, 17B22, 53C40 |
| url | https://arxiv.org/abs/2507.12785 |