Vector bundles with ℂn as fiber
Vector bundles with ℂn as fiber
Just as there are vector spaces over ℂ, there are vector bundles whose fibres can be consistently viewed as ℂn for some n. This chapter first defines these objects and then provides number of examples. The discussions cover complex vector bundles; complex bundles over surfaces in ℝ3; the tangent bundle to a surface in ℝ3; bundles over 4-dimensional submanifolds in ℝ5; complex bundles over 4-dimensional manifolds; complex Grassmannians; the exterior product construction; algebraic operations; and pull-back.
Keywords: vector spaces, vector bundles, fibres, complex bundles, tangent bundle, manifolds, Grassmannians, pull-back
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