Is there  a  polynomial function  $P: \mathbb{R}^3 \to \mathbb{R}$ with the following property?:

>P does not have any critical value and for  all $c \neq c'$, $f^{-1}(c)$ and $f^{-1}(c')$ are  non isometric  Riemannian manifolds(with the metric they inherit from the  standard metric of  $\mathbb{R}^3$)