Krasimir Kanchev · wovepaper

activity

20162024

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

6 citations · 16 across the 10 of their papers we have counts for

collaborators

Showing math.DGShow all

10 papers · 1 filter

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…

Canonical Coordinates and Natural Equation for Lorentz Surfaces in $R_{1}^{3}$

Krasimir Kanchev, Ognian Kassabov, Velichka Milousheva

We consider Lorentz surfaces in $R_{1}^{3}$ satisfying the condition $H^{2} - K \neq = 0$ , where $K$ and $H$ are the Gauss curvature and the mean curvature, respectively, and call the…

Explicit Solving of the System of Natural PDEs of Minimal Lorentz Surfaces in $R_{2}^{4}$

Krasimir Kanchev, Ognian Kassabov, Velichka Milousheva

A minimal Lorentz surface in $R_{2}^{4}$ is said to be of general type if its corresponding null curves are non-degenerate. These surfaces admit canonical isothermal and canoni…

math.DG2019★ 1 cited

Canonical Coordinates and Natural Equations for Minimal Time-like Surfaces in $R_{2}^{4}$

Georgi Ganchev, Krasimir Kanchev

We apply the complex analysis over the double numbers $D$ to study the minimal time-like surfaces in $R_{2}^{4}$ . A minimal time-like surface which is free of degenerate points is said…

math.DG2019★ 1 cited

Canonical coordinates on minimal time-like surfaces in the n-dimensional Minkowski space

Georgi Ganchev, Krasimir Kanchev

We introduce canonical coordinates on minimal time-like surfaces in the n-dimensional Minkowski space and prove the existence and the uniqueness of these parameters. With respect t…

Canonical Weierstrass Representations for Maximal Space-like Surfaces in $\RR^4_2$

Georgi Ganchev, Krasimir Kanchev

It is known that any maximal space-like surface without isotropic points in the four-dimensional pseudo-Euclidean space with neutral metric admits locally geometric parameters whic…

math.DG2016★ 4 cited

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…

math.DG2016★ 3 cited

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…

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…