Geometric realizations of curvature

2009/04/07 by M. Brozos-Vazquez, Brozos-Vazquez, M., P. Gilkey +3
Mathematics · #53B20 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53B20

paper · pdf · doi:10.48550/arxiv.0904.1192

arxiv created 2009/04/07 · arxiv updated 2009/12/01

Abstract

We study geometric realization questions of curvature in the affine, Riemannian, almost Hermitian, almost para Hermitian, almost hyper Hermitian, almost hyper para Hermitian, Hermitian, and para Hermitian settings. We also express questions in Ivanov-Petrova geometry, Osserman geometry, and curvature homogeneity in terms of geometric realizations.

Related

• Geometric realizations of curvature models by manifolds with constant scalar curvature
• Geometric Realizations of para-Hermitian curvature models
• Geometric Realizations of Hermitian curvature models
• Geometric realizations of affine Kaehler curvature models
• Almost-Hermitian and Hermitian metrics