Non-degenerate homogeneous $ε$-Kähler and $ε$-quaternion Kähler structures of linear type

Ignacio Luján; Andrew Swann

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arXiv · 1311.3072

Non-degenerate homogeneous $ε$-Kähler and $ε$-quaternion Kähler structures of linear type

Ignacio Luján·Andrew Swann

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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.

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BibTeX RIS

Ignacio Luján, Andrew Swann. 2013-11-13. Non-degenerate homogeneous $ε$-Kähler and $ε$-quaternion Kähler structures of linear type. https://arxiv.org/abs/1311.3072

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