Isophote curves on timelike surfaces in Minkowski 3-space

TL;DR

This paper investigates isophote curves on timelike surfaces in Minkowski 3-space, analyzing their axes and relationship with slant helices using Darboux frames.

Contribution

It introduces a study of isophote curves on timelike surfaces in Minkowski space, including axes determination and connection to slant helices.

Findings

Axes of spacelike and timelike isophote curves identified

Relationship between isophotes and slant helices established

Darboux frames used to analyze isophote properties

Abstract

Isophote comprises a locus of the surface points whose normal vectors make a constant angle with a fixed vector. In this paper, isophote curves are studied on timelike surfaces in Minkowski 3-space E31. The axises of spacelike and timelike isophote curves are found via their Darboux frames. Subsequently, the relationship between isophotes and slant helices is shown on timelike surfaces.