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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“The snow had begun in the gloaming,
And busily all the night
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