Rotational Surfaces with Pointwise 1-Type Gauss Map in Pseudo Euclidean Space E4-2

TL;DR

This paper investigates rotational surfaces of elliptic, hyperbolic, and parabolic types with pointwise 1-type Gauss maps in four-dimensional pseudo Euclidean space, providing characterizations for such surfaces based on their properties.

Contribution

It offers new characterizations of rotational surfaces with pointwise 1-type Gauss maps in pseudo Euclidean space, focusing on spacelike profile curves.

Findings

Characterizations of elliptic, hyperbolic, and parabolic rotational surfaces with pointwise 1-type Gauss maps.

Conditions under which these surfaces exhibit pointwise 1-type Gauss maps.

Insights into the geometric properties of these surfaces in pseudo Euclidean space.

Abstract

In this paper, we study rotational surfaces of elliptic, hyperbolic and parabolic type with pointwise 1-type Gauss map which have spacelike profile curve in four dimensional pseudo Euclidean space E4-2 and obtain some characterizations for these rotational surfaces to have pointwise 1-type Gauss map.