Weingarten Surfaces Associated to Laguerre Minimal Surfaces
Weingarten Surfaces Associated to Laguerre Minimal Surfaces
Abstract In the work \cite{Laredo}, the author shows that every hypersurface in Euclidean space is locally associated to the unit sphere by a sphere congruence, whose radius function $R$ is a geometric invariant of hypersurface. In this paper, we define the spherical mean curvature $H_S$ for any surface $\Sigma$, which …