Cartan Connections and Lie Algebroids
This paper is a study of the relationship between two constructions associated with Cartan geometries, both of which involve Lie algebroids: the Cartan algebroid, due to [Blaom A.D., Trans. Amer. Math. Soc. 358 (2006), 3651–3671], and tractor calculus [Cap A., Gover A.R., Trans. Amer. Math. Soc. 354...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2009 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2009
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/149114 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Cartan Connections and Lie Algebroids / M. Crampin // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 4 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862732992447774720 |
|---|---|
| author | Crampin, M. |
| author_facet | Crampin, M. |
| citation_txt | Cartan Connections and Lie Algebroids / M. Crampin // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 4 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | This paper is a study of the relationship between two constructions associated with Cartan geometries, both of which involve Lie algebroids: the Cartan algebroid, due to [Blaom A.D., Trans. Amer. Math. Soc. 358 (2006), 3651–3671], and tractor calculus [Cap A., Gover A.R., Trans. Amer. Math. Soc. 354 (2001), 1511–1548].
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| first_indexed | 2025-12-07T19:34:59Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149114 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T19:34:59Z |
| publishDate | 2009 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Crampin, M. 2019-02-19T17:28:52Z 2019-02-19T17:28:52Z 2009 Cartan Connections and Lie Algebroids / M. Crampin // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 4 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 53B05; 53C05; 53C15 https://nasplib.isofts.kiev.ua/handle/123456789/149114 This paper is a study of the relationship between two constructions associated with Cartan geometries, both of which involve Lie algebroids: the Cartan algebroid, due to [Blaom A.D., Trans. Amer. Math. Soc. 358 (2006), 3651–3671], and tractor calculus [Cap A., Gover A.R., Trans. Amer. Math. Soc. 354 (2001), 1511–1548]. This paper is a contribution to the Special Issue “Elie Cartan and Differential Geometry”. I am grateful to one of the referees for several helpful comments, and in particular for drawing my attention to reference [2] and pointing out its relevance. I am a Guest Professor at Ghent University: I should like to express my gratitude to the members of the Department of Mathematical Physics and Astronomy for their hospitality. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Cartan Connections and Lie Algebroids Article published earlier |
| spellingShingle | Cartan Connections and Lie Algebroids Crampin, M. |
| title | Cartan Connections and Lie Algebroids |
| title_full | Cartan Connections and Lie Algebroids |
| title_fullStr | Cartan Connections and Lie Algebroids |
| title_full_unstemmed | Cartan Connections and Lie Algebroids |
| title_short | Cartan Connections and Lie Algebroids |
| title_sort | cartan connections and lie algebroids |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149114 |
| work_keys_str_mv | AT crampinm cartanconnectionsandliealgebroids |