On Some Characterizations of Ruled Surface of a Closed Spacelike Curve with Timelike Binormal in Dual Lorentzian Space

TL;DR

This paper explores the geometric properties of ruled surfaces generated by closed spacelike curves with timelike binormal in dual Lorentzian space, focusing on their pitch, angle of pitch, and drall.

Contribution

It provides new characterizations of ruled surfaces related to closed spacelike curves with timelike binormal in dual Lorentzian space.

Findings

Relations between pitch, angle of pitch, and drall are established.

Characterizations of ruled surfaces are derived.

Insights into the geometry of dual Lorentzian space are provided.

Abstract

In this paper, we investigate the relations between the pitch, the angle of pitch and drall of parallel ruled surface of a closed spacelike curve with timelike binormal in dual Lorentzian space.