Exact formulas for the approximation of connections and curvature
Numerical Analysis
2015-06-08 v2 Mathematical Physics
Differential Geometry
math.MP
Abstract
First we express the holonomy along a boundary curve as the integral on the domain, of an expression which is linear in the curvature. Then we provide a rigorous justification of the definition of curvature in Regge calculus.
Cite
@article{arxiv.1307.3376,
title = {Exact formulas for the approximation of connections and curvature},
author = {Snorre Harald Christiansen},
journal= {arXiv preprint arXiv:1307.3376},
year = {2015}
}
Comments
15 pages. v2 extends the justification of Regge calculus from two to arbitrary dimensions