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| '''Normal bundle''' to a submanifold, or immersed manifold: The quotient of the tangent bundle to the whole manifold (restricted to the submanifold), by the tangent bundle to the submanifold, or immersed manifold. When the manifolds are Riemannian, the normal bundle can be viewed as the orthogonal complement to the tangent bundle of the submanifold, in the tangent bundle to the whole manifold. | | '''Normal bundle''' to a submanifold, or immersed manifold: The quotient of the tangent bundle to the whole manifold (restricted to the submanifold), by the tangent bundle to the submanifold, or immersed manifold. When the manifolds are Riemannian, the normal bundle can be viewed as the orthogonal complement to the tangent bundle of the submanifold, in the tangent bundle to the whole manifold. |
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| | Vectors in the normal bundle are termed normal vectors. |
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| Main subject wiki entry: [[Diffgeom:Normal bundle]] | | Main subject wiki entry: [[Diffgeom:Normal bundle]] |
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| Also located at: [[Wikipedia:Normal bundle]], [[Mathworld:NormalBundle]], [[Planetmath:NormalBundle]] | | Also located at: [[Wikipedia:Normal bundle]], [[Mathworld:NormalBundle]], [[Planetmath:NormalBundle]] |
Latest revision as of 14:09, 9 June 2008
Normal bundle to a submanifold, or immersed manifold: The quotient of the tangent bundle to the whole manifold (restricted to the submanifold), by the tangent bundle to the submanifold, or immersed manifold. When the manifolds are Riemannian, the normal bundle can be viewed as the orthogonal complement to the tangent bundle of the submanifold, in the tangent bundle to the whole manifold.
Vectors in the normal bundle are termed normal vectors.
Main subject wiki entry: Diffgeom:Normal bundle
Also located at: Wikipedia:Normal bundle, Mathworld:NormalBundle, Planetmath:NormalBundle