The Torsion of Spinor Connections and Related Structures
Differential Geometry
2008-12-19 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.math/0611288,
title = {The Torsion of Spinor Connections and Related Structures},
author = {Frank Klinker},
journal= {arXiv preprint arXiv:math/0611288},
year = {2008}
}
Comments
Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/