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Cartan Connections and Lie Algebroids
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5
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Cartan Connections and Lie Algebroids
Інший ID:
2000 Mathematics Subject Classification: 53B05; 53C05; 53C15
Посилання:
Cartan Connections and Lie Algebroids / M. Crampin // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 4 назв. — англ.
Підтримка:
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.
Дата:
2009
Переглядів:
549
Завантажень:
246
Анотація:
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].
