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Math Help - Reparametrization and vector fields

  1. #1
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    Reparametrization and vector fields

    Let Y be a vector field on a curve \alpha. If \alpha (h) is a reparametrization of \alpha, show that the reparametrization Y(h) is a vector field on \alpha (h).

    I'm a bit stuck and would appreciate some help.
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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    Quote Originally Posted by Zennie View Post
    Let Y be a vector field on a curve \alpha. If \alpha (h) is a reparametrization of \alpha, show that the reparametrization Y(h) is a vector field on \alpha (h).
    I don't know which is the problem. If h is a reparametrization of \alpha then, there exists Y\circ \alpha \circ h .
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