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Base Manifold

المؤلف:  المرجع الالكتروني للمعلوماتيه

المصدر:  www.almerja.com

الجزء والصفحة:  ...

23-5-2021

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Base Manifold

The base manifold in a bundle is analogous to the domain for a set of functions. In fact, a bundle, by definition, comes with a map to the base manifold, often called  or projection.

For example, the base manifold to the tangent bundle of a manifold  is the manifold . A vector field is a function from the manifold to the tangent bundle, with the restriction that every point gets mapped to a vector at that point. In general, a bundle has bundle sections, at least locally, which are maps from the base manifold to the bundle.