Re: diffeomorphism

In article <1133135034.070549.106160@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>,
<liting0612@xxxxxxxxx> wrote:

> 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. :)
>

False even in one dimension.
.

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