1.Previous
3.Next

condition that the tangent bundle is

:

where is the directional derivative . By definition, the cotangent bundle in this case is

:where Since every covector corresponds to a unique vector for which for an arbitrary

:

The cotangent bundle as phase space

Since the cotangent bundle is a vector bundle, it can be regarded as a manifold in its own right. Because at each point the tangent directions of

1.Previous
3.Next