The Graf product: a Clifford structure framework on the exterior bundle
Differential Geometry
2018-07-09 v2 Algebraic Topology
Rings and Algebras
Abstract
The geometric product, defined by Graf on the space of differential forms, endows the sections of the exterior bundle by a structure that is necessary to construct a Clifford algebra. The Graf product is introduced and revisited with a suitable underlying framework that naturally encompasses a coframe in the cotangent bundle, besides the volume element centrality, the Hodge operator and the so called truncated subalgebra as well.
Keywords
Cite
@article{arxiv.1712.02737,
title = {The Graf product: a Clifford structure framework on the exterior bundle},
author = {R. Lopes and R. da Rocha},
journal= {arXiv preprint arXiv:1712.02737},
year = {2018}
}
Comments
16 pages, improved version matching the published one