Geometric Realizations of para-Hermitian curvature models

Details Geometric Realizations of para-Hermitian curvature models Geometric Realizations of para-Hermitian curvature models

2009-02-10

arxiv.org/abs/0902.1697v1

Mathematics

Differential Geometry

Scientific paper

We show that a para-Hermitian algebraic curvature model satisfies the para-Gray identity if and only if it is geometrically realizable by a para-Hermitian manifold. This requires extending the Tricerri-Vanhecke curvature decomposition to the para-Hermitian setting. Additionally, the geometric realization can be chosen to have constant scalar curvature and constant *-scalar curvature.

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