Parallelism Structure on a Smooth Manifold
Mathematical Physics
2007-05-23 v1 Differential Geometry
math.MP
Abstract
Using the theory of extensors developed in a previous paper we present a theory of the parallelism structure on arbitrary smooth manifold. Two kinds of Cartan connection operators are introduced and both appear in intrinsic versions (i.e., frame independent) of the first and second Cartan structure equations. Also, the concept of deformed parallelism structures and relative parallelism structures which play important role in the understanding of geometrical theories of the gravitational field are investigated.
Keywords
Cite
@article{arxiv.math-ph/0703055,
title = {Parallelism Structure on a Smooth Manifold},
author = {V. V. Fernandez and A. M. Moya and E. Notte-Cuello and W. A. Rodrigues},
journal= {arXiv preprint arXiv:math-ph/0703055},
year = {2007}
}