Classification of homogeneous hypersurfaces in some noncompact symmetric spaces of rank two
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arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| _version_ | 1866909536395198464 |
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| author | Solonenko, Ivan |
| author_facet | Solonenko, Ivan |
| contents | We classify, up to isometric congruence, the homogeneous hypersurfaces in the Riemannian symmetric spaces $\mathrm{SL}(3,\mathbb{H})/\mathrm{Sp}(3), \hspace{1pt} \mathrm{SO}(5,\mathbb{C})/\mathrm{SO}(5),$ and $\mathrm{Gr}^*(2,\mathbb{C}^{n+4}) = \mathrm{SU}(n+2,2)/\mathrm{S}(\mathrm{U}(n+2)\mathrm{U}(2)), \, n \geqslant 1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2109_14399 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Classification of homogeneous hypersurfaces in some noncompact symmetric spaces of rank two Solonenko, Ivan Differential Geometry 53C35 (Primary) 57S20 (Secondary) We classify, up to isometric congruence, the homogeneous hypersurfaces in the Riemannian symmetric spaces $\mathrm{SL}(3,\mathbb{H})/\mathrm{Sp}(3), \hspace{1pt} \mathrm{SO}(5,\mathbb{C})/\mathrm{SO}(5),$ and $\mathrm{Gr}^*(2,\mathbb{C}^{n+4}) = \mathrm{SU}(n+2,2)/\mathrm{S}(\mathrm{U}(n+2)\mathrm{U}(2)), \, n \geqslant 1$. |
| title | Classification of homogeneous hypersurfaces in some noncompact symmetric spaces of rank two |
| topic | Differential Geometry 53C35 (Primary) 57S20 (Secondary) |
| url | https://arxiv.org/abs/2109.14399 |