35 citations · 245 across the 45 of their papers we have counts for
47 papers
Canonical Coordinates and Natural Equations for Minimal Time-like Surfaces in
Georgi Ganchev, Krasimir Kanchev
We apply the complex analysis over the double numbers to study the minimal time-like surfaces in . A minimal time-like surface which is free of degenerate points is said…
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…
Surfaces with Parallel Normalized Mean Curvature Vector Field in Euclidean or Minkowski 4-Space
Georgi Ganchev, Velichka Milousheva
We study surfaces with parallel normalized mean curvature vector field in Euclidean or Minkowski 4-space. On any such surface we introduce special isothermal parameters (canonical…
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…