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Strongly degenerate homogeneous pseudo-Kähler structures of linear type and complex plane waves

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Castrillón López, Marco and Luján, I (2013) Strongly degenerate homogeneous pseudo-Kähler structures of linear type and complex plane waves. Journal of geometry and physics, 73 . pp. 1-19. ISSN 0393-0440

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Official URL: http://www.sciencedirect.com/science/article/pii/S0393044013000995#


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Abstract

We study the class K2+K4 of homogeneous pseudo-Kähler structures in the strongly degenerate case. The local form and the holonomy of a pseudo-Kähler manifold admitting such a structure are obtained, leading to a possible complex generalization of homogeneous plane waves. The same question is tackled in the case of pseudo-hyper-Kähler and pseudo-quaternion Kähler manifolds.


Item Type:Article
Uncontrolled Keywords:Homogeneous plane waves; Pseudo-hyper-Kähler; Pseudo-Kähler; Pseudo-quaternion Kähler; Reductive homogeneous pseudo-Riemannian spaces
Subjects:Sciences > Mathematics > Differential geometry
Sciences > Mathematics > Topology
ID Code:23935
Deposited On:13 Dec 2013 18:30
Last Modified:12 Dec 2018 15:12

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