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...
Збережено в:
| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2009 |
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2009
|
| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/149114 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Cartan Connections and Lie Algebroids / M. Crampin // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 4 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-149114 |
|---|---|
| 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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Cartan Connections and Lie Algebroids |
| spellingShingle |
Cartan Connections and Lie Algebroids Crampin, M. |
| title_short |
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_sort |
cartan connections and lie algebroids |
| author |
Crampin, M. |
| author_facet |
Crampin, M. |
| publishDate |
2009 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| 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].
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/149114 |
| citation_txt |
Cartan Connections and Lie Algebroids / M. Crampin // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 4 назв. — англ. |
| work_keys_str_mv |
AT crampinm cartanconnectionsandliealgebroids |
| first_indexed |
2025-12-07T19:34:59Z |
| last_indexed |
2025-12-07T19:34:59Z |
| _version_ |
1850879350572843008 |