The Torsion of Spinor Connections and Related Structures

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 09 Nov 2006Embargo end date: 01 Nov 2006Publisher:SIGMA (Symmetry, Integrability and Geometry: Methods and Application)Journal:Symmetry, Integrability and Geometry: Methods and Applications (eissn: 1815-0659,

Copyright policy )

Authors: Klinker, F.;

doi: 10.3842/sigma.2006.077 , 10.48550/arxiv.math/0611288

arXiv: math/0611288

The Torsion of Spinor Connections and Related Structures

- Summary
- Subjects
- Metrics

Abstract

In this text we introduce the torsion of spinor connections. In terms of the torsion we give conditions on a spinor connection to produce Killing vector fields. We relate the Bianchi type identities for the torsion of spinor connections with Jacobi identities for vector fields on supermanifolds. Furthermore, we discuss applications of this notion of torsion.

Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

Related Organizations

TU Dortmund University
Germany

Keywords

Mathematics - Differential Geometry, Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills), Supermanifolds and graded manifolds, Spin and Spin\({}^c\) geometry, torsion, FOS: Physical sciences, Mathematical Physics (math-ph), spinor connection, Killing vector, Differential Geometry (math.DG), QA1-939, supermanifold, FOS: Mathematics, Mathematics, Mathematical Physics

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	2
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average