On Pseudo-Umbilical Rotational Surfaces with Pointwise 1-type Gauss Map in \mathbb{E}4_2

OpenAlex İngilizce

In this work, we study two families of rotational surfaces in the pseudo-Euclidean space E 4 2 with profile curves lying in 2-dimensional planes.First, we obtain a classification of pseudo-umbilical spacelike surfaces and timelike surfaces in these families.Then, we show that in this classification there exists no a pseudo-umbilical rotational surface in E 4 2 with pointwise 1type Gauss map of second kind.Finally, we determine such pseudo-umbilical rotational surfaces in E 4 2 having pointwise 1-type Gauss map of first kind.