35 citations · 245 across the 45 of their papers we have counts for
5 papers · 1 filter
Minimal Surfaces in the Three-Dimensional Sphere and Minimal Hypersurfaces of Type Number Two
Georgi Ganchev
We introduce canonical principal parameters on any strongly regular minimal surface in the three dimensional sphere and prove that any such a surface is determined up to a motion b…
Minimal Surfaces in the Four-Dimensional Euclidean Space
Georgi Ganchev, Velichka Milousheva
We prove that the Gauss curvature and the curvature of the normal connection of any minimal surface in the four dimensional Euclidean space satisfy an inequality, which generates t…
Canonical Weierstrass Representation of Minimal and Maximal Surfaces in the Three-dimensional Minkowski Space
Georgi Ganchev
We prove that any minimal (maximal) strongly regular surface in the three-dimensional Minkowski space locally admits canonical principal parameters. Using this result, we find a ca…
Canonical Weierstrass Representation of Minimal Surfaces in Euclidean Space
Georgi Ganchev
Using the fact that any minimal strongly regular surface carries locally canonical principal parameters, we obtain a canonical representation of these surfaces, which makes more pr…
On the Invariant Theory of Weingarten Surfaces in Euclidean Space
Georgi Ganchev, Vesselka Mihova
We prove that any strongly regular Weingarten surface in Euclidean space carries locally geometric principal parameters. The basic theorem states that any strongly regular Weingart…