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arXiv · 0812.2743

Geometric Realizations of Hermitian curvature models

M. Brozos-Vazquez·P. Gilkey·H. Kang·S. Nikcevic
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Abstract

We show that a Hermitian algebraic curvature model satisfies the Gray identity if and only if it is geometrically realizable by a Hermitian manifold. Furthermore, such a curvature model can in fact be realized by a Hermitian manifold of constant scalar curvature and constant *-scalar curvature which satisfies the Kaehler condition at the point in question.

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M. Brozos-Vazquez, P. Gilkey, H. Kang, S. Nikcevic. 2008-12-15. Geometric Realizations of Hermitian curvature models. https://arxiv.org/abs/0812.2743

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