The Group of Parallel Transports in the Riemannian Space
Differential Geometry
2007-05-23 v1 General Relativity and Quantum Cosmology
Group Theory
Abstract
We show that there is an infinite group of special automorphisms of the deformed group of diffeomorphisms, which describes parallel transports in Riemannian spaces of any variable curvature. Generators of translations of such group contain covariant derivatives, and structure functions - the curvature tensor.
Keywords
Cite
@article{arxiv.math/0605006,
title = {The Group of Parallel Transports in the Riemannian Space},
author = {Serhiy E. Samokhvalov},
journal= {arXiv preprint arXiv:math/0605006},
year = {2007}
}