Nurettin Cenk Turgay

Complete classification of biconservative hypersurfaces with diagonalizable shape operator in the Minkowski 4-space

In this paper, we study biconservative hypersurfaces in the four dimensional Minkowski space

General Rotational Surfaces in Pseudo-Euclidean 4-Space with Neutral Metric

\mathbb E^4_1

Quasi-minimal Lorentz surfaces with pointwise 1-type Gauss map in pseudo-Euclidean 4-space

. We give the complete explicit classification of biconservative hypersurfaces with diagonalizable shape operator in

H-hypersurfaces with three distinct principal curvatures in the Euclidean spaces

\mathbb E^4_1

On the marginally trapped surfaces in 4-dimensional space-times with finite type Gauss map

.

Minimal and Pseudo-Umbilical Rotational Surfaces in Euclidean Space \({\mathbb{E}^4}\)

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 C. Moore in the Euclidean 4-space. We study Lorentz general rotational surfaces with plane meridian curves and give the complete classification of minimal general rotational surfaces of elliptic and hyperbolic type, general rotational surfaces with parallel normalized mean curvature vector field, flat general rotational surfaces, and general rotational surfaces with flat normal connection.

A classification of biconservative hypersurfaces in a pseudo-Euclidean space

Abstract 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 paper we obtain the complete classification of quasi-minimal Lorentz surfaces with pointwise 1-type Gauss map.