Geometric realizations of curvature models by manifolds with constant scalar curvature

2008/11/11 by M. Brozos-Vazquez, Brozos-Vazquez, M., P. Gilkey +7
Mathematics · #53B20 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53B20

paper · pdf · doi:10.48550/arxiv.0811.1651

arxiv created 2008/11/11 · arxiv updated 2009/12/01

Abstract

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.

Related

• Geometric Realizations of Hermitian curvature models
• Geometric Realizations of para-Hermitian curvature models
• Geometric realizations of curvature
• Geometric realizations of affine Kaehler curvature models
• Constant Curvature Models in Sub-Riemannian Geometry