Clifford's structure and Clifford's differentiation on Riemannian spaces
type: Item
instance of: scholarly article
title: Clifford's structure and Clifford's differentiation on Riemannian spaces
zbMATH Open document ID: 0904.53017
author: M. P. Burlakov
author: Leonid Evgen'evich Evtushik
published in: Moscow University Mathematics Bulletin
publication date: 1997-07-01T00:00:00Z
review text: In the article is shown that on any Riemannian or pseudo-Riemannian space there naturally arises a Clifford algebra. The exterior differentiation operator in this algebra is generalized with regard to the Riemannian metric. The suggested operator of Clifford's differentiation is used to write the basic field theory equations, namely the Maxwell, Proca, Weyl, and Dirac equations in a unified coordinate-free form. With the aid of the operator of Clifford's covariant differentiation, the Clifford curvature operator is constructed.
Mathematics Subject Classification ID: 53B20
Mathematics Subject Classification ID: 70G45
Mathematics Subject Classification ID: 53B30
Mathematics Subject Classification ID: 15A66
zbMATH DE Number: 1028411
zbMATH Keywords: Clifford structure
zbMATH Keywords: Clifford differentiation
zbMATH Keywords: field theory
reviewed by: Zdeněk Jankovský
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1028411