On some characterizations of ruled surface of a closed timelike curve in dual Lorentzian space

TL;DR

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

Contribution

It provides new characterizations of ruled surfaces associated with closed timelike curves in dual Lorentzian space, linking key geometric parameters.

Findings

Relations between pitch, angle of pitch, and drall established

Characterizations of ruled surfaces in dual Lorentzian space derived

Insights into the geometry of closed timelike curves obtained

Abstract

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