by ** S.Yu. Orevkov **

__Abstract:__

We give a short proof of the sharpness of the following inequality proved in
[
J.-J.Risler. On the curvature of the real Milnor fiber,*
Bull. London Math. Soc.,* __35__(2003), 445-454]:
$\int_{RA}|k| < \int_{CA}|K|$ where
*RA* is an affine real hypersurface in $R^n$;
*CA* its complexification,
*k* and *K* are curvatures of
*RA* and *CA* properly rescaled.