The cotangent bundle of a manifold is similar to the tangent bundle, except that it is the set 
where 
and 
is a dual vector in the tangent
space to 
.
The cotangent bundle is denoted 
.
Cotangent Bundle
See also
Tangent BundleExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Cotangent Bundle." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/CotangentBundle.html