Strongly degenerate homogeneous pseudo-K\"ahler structures of linear type and complex plane waves

M. Castrillón López; I. Luján

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arXiv · 1207.5637

Strongly degenerate homogeneous pseudo-K\"ahler structures of linear type and complex plane waves

M. Castrillón López·I. Luján

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Abstract

We study the class $\mathcal{K}_{2}+\mathcal{K}_{4}$ of homogeneous pseudo-K\"ahler structures in the strongly degenerate case. The local form and the holonomy of a pseudo-K\"ahler manifold admitting such a structure is obtained, leading to a possible complex generalization of homogeneous plane waves. The same question is tackled in the case of pseudo-hyper-K\"ahler and pseudo-quaternion K\"ahler manifolds.

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M. Castrillón López, I. Luján. 2012-07-24. Strongly degenerate homogeneous pseudo-K\"ahler structures of linear type and complex plane waves. https://arxiv.org/abs/1207.5637

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