Geometric Realizations of Hermitian curvature models

Details Geometric Realizations of Hermitian curvature models Geometric Realizations of Hermitian curvature models

2008-12-15

arxiv.org/abs/0812.2743v1

Mathematics

Differential Geometry

Scientific paper

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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