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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)
References:
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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\by F.~Klinker
\paper The Torsion of Spinor Connections and Related Structures
\jour SIGMA
\yr 2006
\vol 2
\papernumber 077
\totalpages 28
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  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Symmetry, Integrability and Geometry: Methods and Applications
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    Abstract page:162
    Full-text PDF :47
    References:48
     
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