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Castrillón López, Marco and Muñoz Masqué, Jaime (1999) Structure symplectique généralisée sur le fibré des connexions. Comptes Rendus de l'Académie des Sciences. Série I. Mathématique, 328 (1). pp. 41-44. ISSN 0764-4442
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Official URL: http://www.sciencedirect.com/science/article/pii/S0764444299800093
Abstract
We prove that on the bundle of connections of an arbitrary principal bundle π: P → M there exists a canonical differential 2--form taking values in the adjoint bundle ;ing: adg:: ad P → M which defines a generalized symplectic structure and which verifies a property of “universal curvature”. The results of the present Note generalize those of [3] to an arbitrary Lie group.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | symmetry properties; |
| Subjects: | Sciences > Mathematics > Number theory |
| ID Code: | 24328 |
| Deposited On: | 22 Jan 2014 18:05 |
| Last Modified: | 18 Feb 2019 12:08 |
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