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arxiv: 0811.1651 · v1 · submitted 2008-11-11 · 🧮 math.DG

Geometric realizations of curvature models by manifolds with constant scalar curvature

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keywords curvaturemodelscalarconstantmanifoldrealizedgeometricgeometrically
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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-Hermitian curvature model, hyper-pseudo-Hermitian curvature model, or hyper-para-Hermitian curvature model can be realized by a manifold with constant scalar and *-scalar curvature.

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