Deformation of Surfaces in Three-Dimensional Space Induced by Means of Integrable Systems
Paul Bracken · Journal of Advances in Mathematics and Computer Science · 2012
The correspondence between dierent versions of the Gauss-Weingarten equation is investigated. The compatibility condition for one version of the Gauss-Weingarten equation gives the Gauss-Mainardi-Codazzi system. A deformation of the surface is postulated which takes the same form...