Meridian Surface of Weingarten Type in 4-dimensional Euclidean Space E^4

TL;DR

This paper investigates meridian surfaces of Weingarten type in four-dimensional Euclidean space, establishing the precise conditions under which these surfaces exhibit Weingarten properties.

Contribution

It provides necessary and sufficient conditions for meridian surfaces in E^4 to be of Weingarten type, advancing understanding of their geometric properties.

Findings

Characterization of Weingarten meridian surfaces in E^4

Necessary and sufficient conditions derived

Enhanced classification of surfaces in higher-dimensional space

Abstract

In this paper, we study meridian surfaces of Weingarten type in Euclidean 4-space E^4. We give the neccessary and sufficient conditions for a meridian surface in E^4 to become Weingarten type.