Authors: William O. Straub
The number of independent components in the Riemann-Christoffel curvature tensor, being composed of the metric tensor and its first and second derivatives, varies considerably with the dimension of space. Since few texts provide an explicit derivation of component number, we present here a simplified method using only the curvature tensor’s antisymmetry property and the cyclicity condition. For generality and comparison, the method for computing component number in both Riemannian and non-Riemannian space is presented.
Comments: 2 Pages.
[v1] 2015-03-21 12:54:48
Unique-IP document downloads: 196 times
Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.
Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.