A New Approach on Constant Angle Surfaces in E^3

TL;DR

This paper introduces a novel approach to classifying constant angle surfaces in Euclidean 3-space, focusing on surfaces where the surface normal maintains a fixed angle with a specific direction.

Contribution

It provides a new method for classifying constant angle surfaces, offering an alternative perspective to classical results involving the Gauss map.

Findings

Classified all constant angle surfaces in Euclidean 3-space.

Presented an alternative approach to classical Gauss map results.

Enhanced understanding of the geometric properties of these surfaces.

Abstract

In this paper we study constant angle surfaces in Euclidean 3-space. Even that the result is a consequence of some classical results involving the Gauss map (of the surface), we give another approach to classify all surfaces for which the unit normal makes a constant angle with a fixed direction.