A (differentiable) vector bundleof rank nconsists of a total space E,a base M,and a projection π :E → M,where Eand Mare differentiable manifolds, πis differentiable, each “fiber” Ex:= π
-1(x) for x Є M,carries the structure of an n-dimensional (real) vector space, and the following local triviality requirement is satisfied: For each x Є M,there exist a neighborhood Uand a diffeomorphism.
- Riemannian Manifold
- Vector Bundle
- Tangent Bundle
- Spin Structure
- Integral Curf
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