Isophote curves on spacelike surfaces in Lorentz-Minkowski space E31
Fatih Dogan, Yusuf Yayli
TL;DR
This paper investigates isophote curves on spacelike surfaces within Lorentz-Minkowski space, characterizing their axes as timelike or spacelike vectors using the Darboux frame, and providing new geometric insights.
Contribution
It introduces a definition of isophote curves on spacelike surfaces in Lorentz-Minkowski space and characterizes their axes with respect to the Darboux frame.
Findings
Axes can be timelike or spacelike vectors.
Characterizations of isophote curves and their axes are provided.
New geometric properties of isophote curves in Lorentz-Minkowski space.
Abstract
Isophote curve consists of a locus of surface points whose normal vectors make a constant angle with a fixed vector (the axis). In this paper, we define an isophote curve on a spacelike surface in Lorentz-Minkowski space and then find its axis as timelike and spacelike vectors via the Darboux frame. Besides, we give some characterizations concerning isophote curve and its axis.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Advanced Differential Geometry Research · Geometry and complex manifolds