Singular Values of Riemann Curvature Tensor
Differential Geometry
2018-07-24 v1
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.
Keywords
Cite
@article{arxiv.1807.08437,
title = {Singular Values of Riemann Curvature Tensor},
author = {Xiaokai He and Hua Xiang},
journal= {arXiv preprint arXiv:1807.08437},
year = {2018}
}