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The torsion of spinor connections and related structure
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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Інститут математики НАН України
2006
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/146090 |
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irk-123456789-1460902019-02-08T01:23:06Z The torsion of spinor connections and related structure Klinker, F. 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. 2006 Article The torsion of spinor connections and related structure / F. Klinker // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 32 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 17B66; 53C27; 53B20 http://dspace.nbuv.gov.ua/handle/123456789/146090 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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English |
| 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. |
| format |
Article |
| author |
Klinker, F. |
| spellingShingle |
Klinker, F. The torsion of spinor connections and related structure Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Klinker, F. |
| author_sort |
Klinker, F. |
| title |
The torsion of spinor connections and related structure |
| title_short |
The torsion of spinor connections and related structure |
| title_full |
The torsion of spinor connections and related structure |
| title_fullStr |
The torsion of spinor connections and related structure |
| title_full_unstemmed |
The torsion of spinor connections and related structure |
| title_sort |
torsion of spinor connections and related structure |
| publisher |
Інститут математики НАН України |
| publishDate |
2006 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146090 |
| citation_txt |
The torsion of spinor connections and related structure / F. Klinker // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 32 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT klinkerf thetorsionofspinorconnectionsandrelatedstructure AT klinkerf torsionofspinorconnectionsandrelatedstructure |
| first_indexed |
2023-05-20T17:23:47Z |
| last_indexed |
2023-05-20T17:23:47Z |
| _version_ |
1796153199807168512 |