Homogeneous structures of linear type on ϵ-Kähler and ϵ-quaternion Kähler manifolds
We analyze degenerate homogeneous structures of linear type in the pseudo-Kähler and para-Kähler cases. The local form and the holonomy of pseudo-K¨ahler or para-K¨ahler manifolds admitting such structure are obtained. In addition the associated homogeneous models are studied exhibiting their relati...
| Authors: | , |
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| Format: | article |
| Publication Date: | 2017 |
| Country: | España |
| Institution: | Universidad Complutense de Madrid (UCM) |
| Repository: | Docta Complutense |
| Language: | English |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/104762 |
| Online Access: | https://hdl.handle.net/20.500.14352/104762 |
| Access Level: | Open access |
| Keyword: | Homogeneous plane waves pseudo-quaternion Kähler para-Kähler para-quaternion Kähler Reductive homogeneous pseudo-Riemannian spaces pseudo-Kähler Geometria algebraica 1201.01 Geometría Algebraica |
| Summary: | We analyze degenerate homogeneous structures of linear type in the pseudo-Kähler and para-Kähler cases. The local form and the holonomy of pseudo-K¨ahler or para-K¨ahler manifolds admitting such structure are obtained. In addition the associated homogeneous models are studied exhibiting their relation with the incompleteness of the metric. The same questions are tackled in the pseudo-quaternion Kähler and para-quaternion Kähler cases. These results complete the study of homogeneous structures of linear type in pseudo-K¨ahler, para-K¨ahler, pseudo-quaternion Kähler and paraquaternion Kähler cases. |
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