Clifford structures on manifolds

DOI10.1007/BF02414874zbMath0930.53030MaRDI QIDQ1269962

M. P. Burlakov

Publication date: 24 November 1998

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

surveyClifford algebrasClifford structuresClifford connections

Mathematics Subject Classification ID

Spin and Spin({}^c) geometry (53C27) Clifford algebras, spinors (15A66) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02)

Related Items (3)

Multispectral image edge detection via Clifford gradient ⋮ On the use of Clifford algebra \(C\ell_3(\mathbb{C})\) with continuous media, for applications to multiphysical circuits ⋮ Unnamed Item

Cites Work

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• Clifford algebra description of non-Abelian gauge fields
• Optimizing operation of a one-channel queueing system with finite queue
• The Clifford algebra of differential forms
• Estimates and reglarization for solutions of some ill-posed problems of elliptic and parabolic type
• On factorization properties of algebraic spinors
• Connections on Clifford bundles and the Dirac operator
• Idempotent structure of Clifford algebras
• Duality in hypercomplex function theory
• Clifford structures on real vector spaces and manifolds
• Automorphisms of Clifford algebra and strong regular functions
• The relationship between finite groups and Clifford algebras
• Magnetic monopoles without string in the Kähler–Clifford algebra bundle: A geometrical interpretation
• The exponential mapping in Clifford algebras
• Spinor structures on spheres and projective spaces
• Geometrical properties of the algebraic spinors for R3,1
• Clifform calculus with applications to classical field theories
• Real Projective Representations of Clifford Algebras, and Symmetric Groups
• The bivector Clifford algebra and the geometry of Hodge dual operators
• Spinors in n Dimensions

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