diffeomorphism



I have been thought about sth like the converse of Inverse Function
Theorem.
If f is a diffeomorphism from U to V, f and its inverse are
continously differentiable of all orders, then, for each p in U, will
the derivative of f at p is one-to-one or locally invertible?
Thanks for answering me. :)

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Relevant Pages

  • Re: diffeomorphism
    ... > I have been thought about sth like the converse of Inverse Function ... > If f is a diffeomorphism from U to V, ...
    (sci.math)
  • Re: diffeomorphism
    ... > I have been thought about sth like the converse of Inverse Function ... > If f is a diffeomorphism from U to V, ...
    (sci.math)