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arXiv · 1012.4964

Geometric Realizability of Covariant Derivative K\"ahler Tensors for almost Pseudo-Hermitian and almost Para-Hermitian Manifolds

Miguel Brozos-Vázquez·Eduardo García-Río·Peter Gilkey·Luis Hervella
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Abstract

The covariant derivative of the K\"ahler form of an almost pseudo-Hermitian or of an almost para-Hermitian manifold satisfies certain algebraic relations. We show, conversely, that any 3-tensor which satisfies these algebraic relations can be realized geometrically.

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Miguel Brozos-Vázquez, Eduardo García-Río, Peter Gilkey, Luis Hervella. 2010-12-22. Geometric Realizability of Covariant Derivative K\"ahler Tensors for almost Pseudo-Hermitian and almost Para-Hermitian Manifolds. https://arxiv.org/abs/1012.4964

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