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The Graf product: a Clifford structure framework on the exterior bundle

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arxiv 1712.02737 v2 pith:SOWW4UY7 submitted 2017-12-06 math.DG math.ATmath.RA

R. Lopes , R. da Rocha This is my paper · ORCID
classification math.DGmath.ATmath.RA
keywords bundlegrafproductcliffordexteriorframeworkstructurealgebra
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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.

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