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Symmetry, Integrability and Geometry: Methods and Applications, 2006, Volume 2, 077, 28 pp.
DOI: https://doi.org/10.3842/SIGMA.2006.077 (Mi sigma105) 		 
This article is cited in 3 scientific papers (total in 3 papers)

The Torsion of Spinor Connections and Related Structures

F. Klinker

University of Dortmund, 44221 Dortmund, Germany
Full-text PDF (411 kB) Citations (3)
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DOI: https://doi.org/10.3842/SIGMA.2006.077
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.
Received: August 25, 2006; in final form November 3, 2006; Published online November 9, 2006
Bibliographic databases:
Document Type: Article
MSC: 17B66; 53C27; 53B20
Language: English
Citation: F. Klinker, “The Torsion of Spinor Connections and Related Structures”, SIGMA, 2 (2006), 077, 28 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
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    		Symmetry, Integrability and Geometry: Methods and Applications
     
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