Totally geodesic submanifolds of the homogeneous nearly Kähler 6-manifolds and their G2-cones
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866908398216282112 |
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| author | Lorenzo-Naveiro, Juan Manuel Rodríguez-Vázquez, Alberto |
| author_facet | Lorenzo-Naveiro, Juan Manuel Rodríguez-Vázquez, Alberto |
| contents | In this article we classify totally geodesic submanifolds of homogeneous nearly Kähler 6-manifolds, and of the G2-cones over these 6-manifolds. To this end, we develop new techniques for the study of totally geodesic submanifolds of analytic Riemannian manifolds, naturally reductive homogeneous spaces, and Riemannian cones. In particular, we obtain an example of a totally geodesic submanifold with self-intersections in a simply connected homogeneous space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_11261 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Totally geodesic submanifolds of the homogeneous nearly Kähler 6-manifolds and their G2-cones Lorenzo-Naveiro, Juan Manuel Rodríguez-Vázquez, Alberto Differential Geometry Primary 53C30, Secondary 53C35, 53C40 In this article we classify totally geodesic submanifolds of homogeneous nearly Kähler 6-manifolds, and of the G2-cones over these 6-manifolds. To this end, we develop new techniques for the study of totally geodesic submanifolds of analytic Riemannian manifolds, naturally reductive homogeneous spaces, and Riemannian cones. In particular, we obtain an example of a totally geodesic submanifold with self-intersections in a simply connected homogeneous space. |
| title | Totally geodesic submanifolds of the homogeneous nearly Kähler 6-manifolds and their G2-cones |
| topic | Differential Geometry Primary 53C30, Secondary 53C35, 53C40 |
| url | https://arxiv.org/abs/2411.11261 |