35 citations · 245 across the 45 of their papers we have counts for
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Explicit Solving of the System of Natural PDE's of Minimal Space-like Surfaces in Minkowski Space-time
Georgi Ganchev, Krasimir Kanchev
A minimal space-like surface in Minkowski space-time is said to be of general type if it is free of degenerate points. The fact that minimal space-like surfaces of general type in…
Canonical Weierstrass representations for minimal space-like surfaces in $\RR^4_1$
Georgi Ganchev, Krasimir Kanchev
A space-like surface in Minkowski space-time is minimal if its mean curvature vector field is zero. Any minimal space-like surface of general type admits special isothermal paramet…
Canonical Weierstrass representations for minimal surfaces in Euclidean 4-space
Georgi Ganchev, Krasimir Kanchev
Minimal surfaces of general type in Euclidean 4-space are characterized with the conditions that the ellipse of curvature at any point is centered at this point and has two differe…
Explicit Solving of the System of Natural PDE's of Minimal Surfaces in the Four-Dimensional Euclidean Space
Georgi Ganchev, Krasimir Kanchev
The fact that minimal surfaces in the four-dimensional Euclidean space admit natural parameters implies that any minimal surface is determined uniquely up to a motion by two curvat…
Weighted sums of the squares of the distances of a point to the sidelines of a triangle
Georgi Ganchev, Nikolai Nikolov
We study a function, which is a weighted sum of the squares of the distances of an arbitrary point to the sidelines of a triangle. The given weights, considered as barycentric coor…
Meridian Surfaces of Parabolic Type in the Four-dimensional Minkowski Space
Georgi Ganchev, Velichka Milousheva
We construct a special class of spacelike surfaces in the Minkowski 4-space which are one-parameter systems of meridians of the rotational hypersurface with lightlike axis and call…