Ricci solitons as submanifolds of complex hyperbolic spaces
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866913423361572864 |
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| author | Cidre-Díaz, Ángel Sanmartín-López, Víctor |
| author_facet | Cidre-Díaz, Ángel Sanmartín-López, Víctor |
| contents | Any homogeneous expanding Ricci soliton is known to be isometric to a Lie subgroup of the solvable part of the Iwasawa decomposition associated with a symmetric space of non-compact type, with the metric induced as a submanifold. In this paper, we classify and analyze the geometry of such Lie subgroups with Ricci soliton induced metric when the symmetric spaces are complex hyperbolic spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_06999 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Ricci solitons as submanifolds of complex hyperbolic spaces Cidre-Díaz, Ángel Sanmartín-López, Víctor Differential Geometry Any homogeneous expanding Ricci soliton is known to be isometric to a Lie subgroup of the solvable part of the Iwasawa decomposition associated with a symmetric space of non-compact type, with the metric induced as a submanifold. In this paper, we classify and analyze the geometry of such Lie subgroups with Ricci soliton induced metric when the symmetric spaces are complex hyperbolic spaces. |
| title | Ricci solitons as submanifolds of complex hyperbolic spaces |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2407.06999 |