Dual Bundle
Given a vector bundle pi:E->M, its dual bundle is a vector bundle pi^*:E^*->M. The fiber bundle of E^* over a point p in M is the dual vector space to the fiber of E.
See also
Dual Vector Space, Vector BundleThis entry contributed by Todd Rowland
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Rowland, Todd. "Dual Bundle." From MathWorld--A Wolfram Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/DualBundle.html