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arxiv: 1012.4964 · v1 · pith:WTQGBHHAnew · submitted 2010-12-22 · 🧮 math.DG

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

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keywords almostahleralgebraiccovariantderivativepara-hermitianpseudo-hermitianrelations
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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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