Publications Influence

Share This Author

## Canonical coordinates and natural equations for minimal time-like surfaces in $\mathbf{R}^4_2$

- G. Ganchev, Krasimir Kanchev
- Mathematics
- 1 October 2020

## Canonical Weierstrass representations for minimal space-like surfaces in $\RR^4_1$

- G. Ganchev, Krasimir Kanchev
- Mathematics
- 16 December 2016

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 parameters - canonical… Expand

## Relation between the Maximal Space-like Surfaces in R42 and the Maximal Space-like Surfaces in R31

- G. Ganchev, Krasimir Kanchev
- Mathematics
- 20 July 2019

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

- G. Ganchev, Krasimir Kanchev
- Mathematics, Philosophy
- 5 September 2016

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 curvature functions,… Expand

## Explicit Solving of the System of Natural PDE's of Minimal Space-like Surfaces in Minkowski Space-time

- G. Ganchev, Krasimir Kanchev
- Mathematics
- 20 December 2016

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 Minkowski… Expand

## Canonical Coordinates and Natural Equation for Lorentz Surfaces in R 31 R 31 R 31

- Krasimir Kanchev, O. Kassabov, V. Milousheva
- Mathematics
- 2021

: We consider Lorentz surfaces in R 31 satisfying the condition H 2 − K (cid:54) = 0, where K and H are the Gaussian curvature and the mean curvature, respectively, and call them Lorentz surfaces of… Expand

## Canonical Coordinates and Natural Equation for Lorentz Surfaces in $\mathbb R^3_1$

- Krasimir Kanchev, O. Kassabov, V. Milousheva
- Mathematics
- 20 November 2021

We consider Lorentz surfaces in $\mathbb R^3_1$ satisfying the condition $H^2-K\neq 0$, where $K$ and $H$ are the Gauss curvature and the mean curvature, respectively, and call them Lorentz surfaces… Expand

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

- G. Ganchev, Krasimir Kanchev
- Mathematics
- 25 November 2019

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 to these coordinates… Expand

## Explicit Solving of the System of Natural PDEs of Minimal Lorentz Surfaces in $\mathbb R^4_2$

- Krasimir Kanchev, O. Kassabov, V. Milousheva
- Mathematics
- 2 August 2021

A minimal Lorentz surface in R 2 is said to be of general type if its corresponding null curves are non-degenerate. These surfaces admit canonical isothermal and canonical isotropic coordinates. It… Expand

## Canonical Coordinates and Natural Equations for Minimal Time-like Surfaces in $R^4_2$

- G. Ganchev, Krasimir Kanchev
- Mathematics
- 29 November 2019

We apply the complex analysis over the double numbers $D$ to study the minimal time-like surfaces in $R^4_2$. A minimal time-like surface which is free of degenerate points is said to be of general… Expand

...

1

2

...