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math.DG2008★ 3 cited
Geometric Realizations of Hermitian curvature models
M. Brozos-Vazquez, P. Gilkey, H. Kang +1
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…
math.DG2008★ 2 cited
Geometric realizations of curvature models by manifolds with constant scalar curvature
M. Brozos-Vazquez, P. Gilkey, H. Kang +2
We show any Riemannian curvature model can be geometrically realized by a manifold with constant scalar curvature. We also show that any pseudo-Hermitian curvature model, para-Herm…