Dupin hypersurface (source code)

= Dupin hypersurface
{wiki=Dupin_hypersurface}

A Dupin hypersurface is a specific type of hypersurface in differential geometry characterized by certain properties of its principal curvatures. More formally, a hypersurface in a Riemannian manifold is called a Dupin hypersurface if its principal curvatures are constant along the principal curvature directions.