Article ID Journal Published Year Pages File Type
1898563 Journal of Geometry and Physics 2013 19 Pages PDF
Abstract

We study the class K2+K4K2+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.

Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
Authors
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