Vertical bundle
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In mathematics, the vertical bundle of a fiber bundle is the subbundle of the tangent bundle that consists of all vectors which are tangent to the fibers.
[edit] Example
The simplest example of a fiber bundle is a Cartesian product of two manifolds. Consider the bundle R × S with bundle projection pr1 : R × S → R : (r, s) → r. The vertical bundle is then R × TS.
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