Loxodromes on Twisted Surfaces in Lorentz-Minkowski 3-Space
Loxodromes on Twisted Surfaces in Lorentz-Minkowski 3-Space
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.
Ahmet Kazan、Mustafa Alt?n
数学
Ahmet Kazan,Mustafa Alt?n.Loxodromes on Twisted Surfaces in Lorentz-Minkowski 3-Space[EB/OL].(2021-11-22)[2025-08-03].https://arxiv.org/abs/2111.11147.点此复制
评论