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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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2006 |
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| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут математики НАН України
2006
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/146090 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | The torsion of spinor connections and related structure / F. Klinker // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 32 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862631311715336192 |
|---|---|
| author | Klinker, F. |
| author_facet | Klinker, F. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-11-30T11:09:23Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146090 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-30T11:09:23Z |
| publishDate | 2006 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Klinker, F. 2019-02-07T09:18:25Z 2019-02-07T09:18:25Z 2006 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 https://nasplib.isofts.kiev.ua/handle/123456789/146090 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. The author would like to thank Vicente Cort´es and Mario Listing for useful discussions on the topic of this text. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications The torsion of spinor connections and related structure Article published earlier |
| spellingShingle | The torsion of spinor connections and related structure Klinker, F. |
| title | 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_short | The torsion of spinor connections and related structure |
| title_sort | torsion of spinor connections and related structure |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146090 |
| work_keys_str_mv | AT klinkerf thetorsionofspinorconnectionsandrelatedstructure AT klinkerf torsionofspinorconnectionsandrelatedstructure |