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

TL;DR

This paper explores geometric properties of ruled surfaces generated by closed spacelike curves with spacelike binormals in dual Lorentzian space, focusing on relations involving pitch, angle of pitch, and drall.

Contribution

It provides new characterizations of ruled surfaces in dual Lorentzian space based on the relations between key geometric invariants.

Findings

Relations between pitch, angle of pitch, and drall established

Characterizations of ruled surfaces with spacelike binormal

Insights into the geometry of dual Lorentzian space

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 a spacelike binormal in dual Lorentzian space.