Semi-parallel Meridian Surfaces in $E^4$

TL;DR

This paper investigates a specific class of surfaces in four-dimensional space called meridian surfaces, classifies those that are semi-parallel, and enhances understanding of their geometric properties.

Contribution

The paper provides a classification of semi-parallel meridian surfaces in four-dimensional Euclidean space, a novel contribution to differential geometry.

Findings

Classification of semi-parallel meridian surfaces in E^4

Identification of geometric properties of these surfaces

Extension of existing theories on surfaces in higher dimensions

Abstract

In the present article we study a special class of surfaces in the four-dimensional Euclidean space, which are one-parameter systems of meridians of the standard rotational hypersurface. They are called meridian surfaces. We classified semi-parallel meridian surface in 4-dimensional Euclidean space $E^4$.