Loxodromes on Twisted Surfaces in Lorentz-Minkowski 3-Space
Differential Geometry
2021-11-23 v1
Abstract
In the present paper, firstly we give the general formulas according to first fundamental form of a surface for different types of loxodromes, meridians and surfaces in E^3_1. After that, we obtain the differential equations of loxodromes on Type-I, Type-II and Type-III twisted surfaces in E^3_1 and also, we state a theorem which generalizes the differential equations of different types of loxodromes on the twisted surfaces for a special case. Finally, we provide several examples for visualizing our obtained results and draw our loxodromes and meridians on twisted surfaces with the aid of Mathematica.
Keywords
Cite
@article{arxiv.2111.11147,
title = {Loxodromes on Twisted Surfaces in Lorentz-Minkowski 3-Space},
author = {Ahmet Kazan and Mustafa Altın},
journal= {arXiv preprint arXiv:2111.11147},
year = {2021}
}
Comments
10 pages, 4 figures