Singular Values of Riemann Curvature Tensor

2018/07/23 by He, Xiaokai, Xiang, Hua
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1807.08437

Abstract

We introduce the concept of singular values for the Riemann curvature tensor, a central mathematical tool in Einstein's theory of general relativity. We study the properties related to the singular values, and investigate five typical cases to show its relationship to the Ricci scalar and other invariants.

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