Normal Transport Surfaces in Euclidean 4-space $\mathbb{E}^{4}$

TL;DR

This paper explores the properties and examples of normal transport surfaces in four-dimensional Euclidean space, extending concepts from three-dimensional surface offsets to higher dimensions.

Contribution

It introduces the study of normal transport surfaces in $ ext{E}^4$, focusing on evolute and parallel types, and provides explicit examples.

Findings

Characterization of evolute and parallel type normal transport surfaces

Examples illustrating the theoretical concepts

Extension of surface offset ideas to four dimensions

Abstract

In the present paper we study normal transport surfaces in four-dimensional Euclidean space $\mathbb{E}^{4}$ which are the generalization of surface offsets in $\mathbb{E}^{3}$. We find some results of normal transport surfaces in $\mathbb{E}^{4}$ of evolute and parallel type. Further, we give some examples of these type of surfaces.