Parallelism Structure on a Smooth Manifold

Details Parallelism Structure on a Smooth Manifold Parallelism Structure on a Smooth Manifold

2007-03-18

arxiv.org/abs/math-ph/0703055v1

Physics

Mathematical Physics

Scientific paper

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.

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