Cotangent bundle: Difference between revisions
(New page: ==Definition== The '''cotangent bundle''' of a differential manifold is the dual bundle to its tangent bundle. In other words, it is a bundle whose fiber at every point is the dua...) |
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==Definition== | ==Definition== | ||
The '''cotangent bundle''' of a [[differential manifold]] is the dual bundle to its [[tangent bundle]]. In other words, it is a bundle whose fiber at every point is the dual vector space to the [[tangent bundle]]. | The '''cotangent bundle''' of a [[differential manifold]] is the dual bundle to its [[tangent bundle]]. In other words, it is a bundle whose fiber at every point is the dual vector space to the [[tangent bundle]]. | ||
Revision as of 19:43, 5 April 2008
This article defines a basic construct that makes sense on any differential manifold
View a complete list of basic constructs on differential manifolds
Definition
The cotangent bundle of a differential manifold is the dual bundle to its tangent bundle. In other words, it is a bundle whose fiber at every point is the dual vector space to the tangent bundle.