Transversal Surfaces of Timelike Ruled Surfaces in Minkowski 3-Space

TL;DR

This paper investigates transversal surfaces of timelike ruled surfaces in Minkowski 3-space, providing definitions, characterizations, and conditions for developability, especially in special cases like geodesics, asymptotic lines, and lines of curvature.

Contribution

It introduces new definitions and characterizations of transversal surfaces of timelike ruled surfaces in Minkowski space, including developability conditions and special case analyses.

Findings

Characterization of transversal surfaces in Minkowski 3-space

Conditions for developability of these surfaces

Analysis of special cases such as geodesic and asymptotic lines

Abstract

In this study we give definitions and characterizations of transversal surfaces of timelike ruled surfaces. We study some special cases such as the striction curve is a geodesic, an asymptotic line or a line of curvature. Moreover, we obtain developable conditions for transversal surfaces of a timelike ruled surface.