Krasimir Kanchev

most citedExplicit Solving of the System of Natural PDE's of Minimal Surfaces in the Four-Dimensional Euclidean Space

6 citations · 7 across the 3 of their papers we have counts for

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math.DG2024

Relation between the minimal Lorentz surfaces in $R_{2}^{4}$ and $R_{1}^{3}$

Krasimir Kanchev, Ognian Kassabov, Velichka Milousheva

In this paper we give Weierstrass-type representation formulas for the null curves and for the minimal Lorentz surfaces in the Minkowski 3-space $R_{1}^{3}$ using real-valued f…

math.DG2016★ 1 cited

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…

math.DG2016★ 6 cited

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…

Relation between the minimal Lorentz surfaces in R24​ and R13​

Canonical Weierstrass representations for minimal surfaces in Euclidean 4-space

Explicit Solving of the System of Natural PDE's of Minimal Surfaces in the Four-Dimensional Euclidean Space

Relation between the minimal Lorentz surfaces in $R_{2}^{4}$ and $R_{1}^{3}$