This article is cited in 3 papers

The Torsion of Spinor Connections and Related Structures

F. Klinker

University of Dortmund, 44221 Dortmund, Germany

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: spinor connection; torsion; Killing vector; supermanifold.

MSC: 17B66; 53C27; 53B20

Received: August 25, 2006; in final form November 3, 2006; Published online November 9, 2006

Language: English

DOI: 10.3842/SIGMA.2006.077

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ArXiv: math.DG/0611288