Differential Structure of the Hyperbolic Clifford Algebra
Abstract
This paper presents a thoughful review of: (a) the Clifford algebra Cl(H_{V}) of multivecfors which is naturally associated with a hyperbolic space H_{V}; (b) the study of the properties of the duality product of multivectors and multiforms; (c) the theory of k multivector and l multiform variables multivector extensors over V and (d) the use of the above mentioned structures to present a theory of the parallelism structure on an arbitrary smooth manifold introducing the concepts of covariant derivarives, deformed covariant derivatives and relative covariant derivatives of multivector, multiform fields and extensors fields.
Keywords
Cite
@article{arxiv.1403.3150,
title = {Differential Structure of the Hyperbolic Clifford Algebra},
author = {Eduardo A. Notte-Cuello and Waldyr A. Rodrigues},
journal= {arXiv preprint arXiv:1403.3150},
year = {2014}
}
Comments
54 pages, no figures. arXiv admin note: text overlap with arXiv:math-ph/0703054, arXiv:math-ph/0703056, arXiv:math-ph/0703057, arXiv:math-ph/0703055