The Torsion of Spinor Connections and Related Structures

Details The Torsion of Spinor Connections and Related Structures The Torsion of Spinor Connections and Related Structures

2006-11-09

arxiv.org/abs/math/0611288v1

SIGMA 2:077,2006

Mathematics

Differential Geometry

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

Scientific paper

10.3842/SIGMA.2006.077

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.

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