Parallelism Structure on a Smooth Manifold
数学物理
2007-05-23 v1 微分几何
math.MP
摘要
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.
引用
@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}
}