%0 Journal Article
%T On the Invariant Theory of Weingarten Surfaces in Euclidean Space
%A Georgi Ganchev
%A Vesselka Mihova
%J Mathematics
%D 2008
%I arXiv
%R 10.1088/1751-8113/43/40/405210
%X We prove that any strongly regular Weingarten surface in Euclidean space carries locally geometric principal parameters. The basic theorem states that any strongly regular Weingarten surface is determined up to a motion by its structural functions and the normal curvature function satisfying a geometric differential equation. We apply these results to the special Weingarten surfaces: minimal surfaces, surfaces of constant mean curvature and surfaces of constant Gauss curvature.
%U http://arxiv.org/abs/0802.2191v1