25 citations
11 papers
General Rotational Surfaces in Pseudo-Euclidean 4-Space with Neutral Metric
Yana Aleksieva, Velichka Milousheva, Nurettin Cenk Turgay
We define general rotational surfaces of elliptic and hyperbolic type in the pseudo-Euclidean 4-space with neutral metric which are analogous to the general rotational surfaces of…
Meridian Surfaces with Constant Mean Curvature in Pseudo-Euclidean 4-space with Neutral Metric
Betul Bulca, Velichka Milousheva
In the present paper we consider a special class of Lorentz surfaces in the four-dimensional pseudo-Euclidean space with neutral metric which are one-parameter systems of meridians…
Quasi-minimal Lorentz Surfaces with Pointwise 1-type Gauss Map in Pseudo-Euclidean 4-Space
Velichka Milousheva, Nurettin Cenk Turgay
A Lorentz surface in the four-dimensional pseudo-Euclidean space with neutral metric is called quasi-minimal if its mean curvature vector is lightlike at each point. In the present…
Quasi-minimal Rotational Surfaces in Pseudo-Euclidean Four-dimensional Space
Georgi Ganchev, Velichka Milousheva
In the four-dimensional pseudo-Euclidean space with neutral metric there are three types of rotational surfaces with two-dimensional axis - rotational surfaces of elliptic, hyperbo…
Marginally trapped meridian surfaces of parabolic type in the four-dimensional Minkowski space
Georgi Ganchev, Velichka Milousheva
A marginally trapped surface in the four-dimensional Minkowski space is a spacelike surface whose mean curvature vector is lightlike at each point. We introduce meridian surfaces o…
Compact complex surfaces with geometric structures related to split quaternions
Johann Davidov, Gueo Grantcharov, Oleg Mushkarov +1
We study the problem of existence of geometric structures on compact complex surfaces that are related to split quaternions. These structures, called para-hypercomplex, para-hyperh…