A unified framework for Lie and covariant differentiation (with application to tensor fields)

DOI10.1063/1.1343091zbMath1016.53015OpenAlexW1982393338MaRDI QIDQ2774868

Donal J. Hurley, Michael A. Vandyck

Publication date: 26 February 2002

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1343091

zbMATH Keywords

spinor fields\(D\) differentiationgeneralized curvature

Mathematics Subject Classification ID

Differentiable manifolds, foundations (58A05) Other connections (53B15)

Related Items (8)

A geometrical interpretation of `Supergauge' transformations using \(D\)-differentiation ⋮ TENSORIAL CURVATURE AND D-DIFFERENTIATION PART I: "COMMUTATIVE" KIND ⋮ TENSORIAL CURVATURE AND D-DIFFERENTIATION PART II: "PRINCIPAL" KIND AND EINSTEIN–MAXWELL THEORY ⋮ A geometrical framework for dyons in the presence of the dilaton and the axion in four dimensions ⋮ Super \(D\)-differentiation for \(R^{\infty}\)-supermanifolds ⋮ \(\mathfrak{D}\)-differentiation in Hilbert space and the structure of quantum mechanics. II: Accelerated observers and fictitious forces ⋮ \({\mathfrak D}\)-differentiation in Hilbert space and the structure of quantum mechanics ⋮ A formulation of Newton–Cartan gravity and quantum mechanics using D-differentiation

Cites Work

• Spineurs, opérateurs de Dirac et variations de métriques. (Spinors, Dirac operators and variations of the metrics)
• Dérivées de Lie des spineurs. (Lie derivatives of spinors)
• On the concepts of Lie and covariant derivatives of spinors: part II
• On the concepts of Lie and covariant derivatives of spinors. I
• On the concepts of Lie and covariant derivatives of spinors. III. Comparison with the invariant formalism

This page was built for publication: A unified framework for Lie and covariant differentiation (with application to tensor fields)