The Torsion of Spinor Connections and Related Structures
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. Fur...
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| Format: | Article |
| Language: | English |
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National Academy of Science of Ukraine
2006-11-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Subjects: | |
| Online Access: | http://www.emis.de/journals/SIGMA/2006/Paper077/ |
| _version_ | 1817998685099786240 |
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| author | Frank Klinker |
| author_facet | Frank Klinker |
| author_sort | Frank Klinker |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-14T02:56:52Z |
| format | Article |
| id | doaj.art-43821bdb973f4b8db74702a6ce760812 |
| institution | Directory Open Access Journal |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2024-04-14T02:56:52Z |
| publishDate | 2006-11-01 |
| publisher | National Academy of Science of Ukraine |
| record_format | Article |
| series | Symmetry, Integrability and Geometry: Methods and Applications |
| spelling | doaj.art-43821bdb973f4b8db74702a6ce7608122022-12-22T02:16:04ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592006-11-012077The Torsion of Spinor Connections and Related StructuresFrank KlinkerIn 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.http://www.emis.de/journals/SIGMA/2006/Paper077/spinor connectiontorsionKilling vectorsupermanifold |
| spellingShingle | Frank Klinker The Torsion of Spinor Connections and Related Structures Symmetry, Integrability and Geometry: Methods and Applications spinor connection torsion Killing vector supermanifold |
| title | The Torsion of Spinor Connections and Related Structures |
| title_full | The Torsion of Spinor Connections and Related Structures |
| title_fullStr | The Torsion of Spinor Connections and Related Structures |
| title_full_unstemmed | The Torsion of Spinor Connections and Related Structures |
| title_short | The Torsion of Spinor Connections and Related Structures |
| title_sort | torsion of spinor connections and related structures |
| topic | spinor connection torsion Killing vector supermanifold |
| url | http://www.emis.de/journals/SIGMA/2006/Paper077/ |
| work_keys_str_mv | AT frankklinker thetorsionofspinorconnectionsandrelatedstructures AT frankklinker torsionofspinorconnectionsandrelatedstructures |