A class of locally inhomogeneous complete quaternionic Kähler manifolds
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866908281571639296 |
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| author | Cortés, Vicente Gil-García, Alejandro Saha, Arpan |
| author_facet | Cortés, Vicente Gil-García, Alejandro Saha, Arpan |
| contents | We prove that the one-loop deformation of any quaternionic Kähler manifold in the class of c-map spaces is locally inhomogeneous. As a corollary, we obtain that the full isometry group of the one-loop deformation of any homogeneous c-map space has precisely cohomogeneity one. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_10097 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | A class of locally inhomogeneous complete quaternionic Kähler manifolds Cortés, Vicente Gil-García, Alejandro Saha, Arpan Differential Geometry 53C26 We prove that the one-loop deformation of any quaternionic Kähler manifold in the class of c-map spaces is locally inhomogeneous. As a corollary, we obtain that the full isometry group of the one-loop deformation of any homogeneous c-map space has precisely cohomogeneity one. |
| title | A class of locally inhomogeneous complete quaternionic Kähler manifolds |
| topic | Differential Geometry 53C26 |
| url | https://arxiv.org/abs/2210.10097 |