arXiv 0902.16972009-02-10math.DG

Geometric Realizations of para-Hermitian curvature models

M. Brozos-Vazquez, P. Gilkey, S. Nikcevic, R. Vazquez-Lorenzo

英文摘要：

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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