Clifford structures on manifolds
type: Item
instance of: scholarly article
title: Clifford structures on manifolds
zbMATH Open document ID: 0930.53030
DOI: 10.1007/BF02414874
author: M. P. Burlakov
published in: Journal of Mathematical Sciences (New York)
publication date: 1998-11-24T00:00:00Z
review text: This survey paper offers a valuable review of Clifford structures with numerous applications to mathematical physics and differential geometry. In addition, it contains eight theorems (which are probably not entirely new, and derived from the author's previous publications), which are interesting for their generality. Contents include: an introduction; Clifford differential algebras; Clifford connections; and a bibliography of fifty items.
Mathematics Subject Classification ID: 53C27
Mathematics Subject Classification ID: 15A66
Mathematics Subject Classification ID: 57R15
Mathematics Subject Classification ID: 53-02
zbMATH DE Number: 1213202
zbMATH Keywords: Clifford algebras
zbMATH Keywords: survey
zbMATH Keywords: Clifford structures
zbMATH Keywords: Clifford connections
reviewed by: Joseph D. Zund
MaRDI profile type: Publication
cites work: Q3496870
cites work: Q4365550
cites work: Q3827207
cites work: Q3816656
cites work: Optimizing operation of a one-channel queueing system with finite queue
cites work: Automorphisms of Clifford algebra and strong regular functions
cites work: Q3913478
cites work: Clifford algebra description of non-Abelian gauge fields
cites work: Q3681594
cites work: Connections on Clifford bundles and the Dirac operator
cites work: Spinors in n Dimensions
cites work: On factorization properties of algebraic spinors
cites work: Geometrical properties of the algebraic spinors for R3,1
cites work: Q4012909
cites work: Q3999294
cites work: Spinor structures on spheres and projective spaces
cites work: Q3733704
cites work: Duality in hypercomplex function theory
cites work: Clifform calculus with applications to classical field theories
cites work: The exponential mapping in Clifford algebras
cites work: Q3995205
cites work: The bivector Clifford algebra and the geometry of Hodge dual operators
cites work: Idempotent structure of Clifford algebras
cites work: Estimates and reglarization for solutions of some ill-posed problems of elliptic and parabolic type
cites work: Magnetic monopoles without string in the Kähler–Clifford algebra bundle: A geometrical interpretation
cites work: Real Projective Representations of Clifford Algebras, and Symmetric Groups
cites work: Clifford structures on real vector spaces and manifolds
cites work: The relationship between finite groups and Clifford algebras
cites work: Q3787105
cites work: The Clifford algebra of differential forms
description: scientific article; zbMATH DE number 1213202