Charakterisierungen spezieller windschiefer Regelfl\"achen durch die Normalkr\"ummung ausgezeichneter Fl\"achenkurven

TL;DR

This paper classifies ruled surfaces in 3D space based on specific normal curvature properties of distinguished curve families, enhancing understanding of their geometric structure.

Contribution

It provides a complete classification of ruled surfaces with certain normal curvature characteristics on special curve families.

Findings

Identified all ruled surfaces with prescribed normal curvature properties.

Characterized distinguished curve families on these surfaces.

Enhanced geometric understanding of ruled surface classifications.

Abstract

We consider ruled surfaces in the three-dimensional Euclidean space and some geometrically distinguished families of curves on them whose normal curvature has a concrete form. The aim of this paper is to find and classify all ruled surfaces with the mentioned property