Time Dependent Vector Field

A time dependent vector field on a manifold M is a map from an open subset on

such that for every, is an element of .

For every such that the set

is nonempty, is a vector field in the usual sense defined on the open set .

Read more about Time Dependent Vector Field:  Associated Differential Equation, Integral Curve, Relationship With Vector Fields in The Usual Sense, Flow, Applications

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