Tangent Bundles Schematic Diagram

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2009.03.08

Tangent Bundles Figure

It's a schematic diagram for the tantent bundle.

The point p is in the base space(manifold), and at this point, we have a tangent plane.

For the Dim-n manifold(base space), the point p has n coordinates, it can be mapped into the n-D Euclidean space. From other hand, the tangent plane can be mapped into an Euclidean space too.The tangent bundle can be found from the directive product for this two spaces. Of cause, we have to notify the open covering, and it includes the point p.

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