Non-degenerate homogeneous $\epsilon$-Kähler and $\epsilon$-quaternion Kähler structures of linear type
Abstract
We study the class of non-degenerate homogeneous structures of linear type in the pseudo-Kähler, para-Kähler, pseudo-quaternion Kähler and para-quaternion Kähler cases. We show that these structures characterize spaces of constant holomorphic, para-holomorphic, quaternion and para-quaternion sectional curvature respectively. In addition the corresponding homogeneous models are computed, exhibiting the relation between these kind of structures and the incompleteness of the metric.
- Publication:
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arXiv e-prints
- Pub Date:
- November 2013
- DOI:
- 10.48550/arXiv.1311.3072
- arXiv:
- arXiv:1311.3072
- Bibcode:
- 2013arXiv1311.3072L
- Keywords:
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- Mathematics - Differential Geometry
- E-Print:
- 29 pages