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math.DG2014★ 2 cited
A class of superconformal surfaces
Marcos Dajczer, Theodoros Vlachos
Superconformal surfaces in Euclidean space are the ones for which the ellipse of curvature at any point is a nondegenerate circle. They can be characterized as the surfaces for whi…
math.DG2014★ 3 cited
The dual superconformal surface
Marcos Dajczer, Theodoros Vlachos
It is shown that a superconformal surface with arbitrary codimension in flat Euclidean space has a (necessarily unique) dual superconformal surface if and only if the surface is S-…