General Rotational Surfaces with Pointwise 1-Type Gauss Map in Pseudo- Euclidean Space E42
Ferda\u{g} Kahraman Aksoyak, Yusuf Yayl{\i}
TL;DR
This paper characterizes flat general rotational surfaces with pointwise 1-type Gauss map in 4D pseudo-Euclidean space, providing a classification and example of such surfaces.
Contribution
It offers a new characterization of flat rotational surfaces with specific Gauss map properties in pseudo-Euclidean space.
Findings
Identified conditions for flat general rotational surfaces with pointwise 1-type Gauss map.
Provided explicit example of such a surface.
Abstract
In this paper, we study general rotational surfaces in the 4- dimensional pseudo-Euclidean space E4-2 and obtain a characterization of flat general rotation surfaces with pointwise 1-type Gauss map in E4-2 and give an example of such surfaces.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Mathematics and Applications · Advanced Differential Geometry Research