Parallelism Structure on a Smooth Manifold

2007/03/18 by V. V. Fernandez, A. M. Moya, Fernandez, V. V. +5 · 1 citation
Mathematics · Physics and Astronomy · #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.DG #math.MP

paper · pdf · doi:10.48550/arxiv.math-ph/0703055

arxiv created 2007/03/18 · arxiv updated 2009/12/01

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.

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• Differential Structure of the Hyperbolic Clifford Algebra

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