9 citations · 21 across the 7 of their papers we have counts for
6 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 Theory of Surfaces in the Four-dimensional Euclidean Space
Georgi Ganchev, Velichka Milousheva
For a two-dimensional surface in the four-dimensional Euclidean space we introduce an invariant linear map of Weingarten type in the tangent space of the surface, which generates t…
Hermitian manifolds of pointwise constant antiholomorphic sectional curvatures
Georgi Ganchev, Ognian Kassabov
In dimension greater than four, we prove that if a Hermitian non-Kaehler manifold is of pointwise constant antiholomorphic sectional curvatures, then it is of constant sectional cu…