Loxodromes on non-degenerate helicoidal surfaces in Minkowski space–time

In this article, we first study a class of helicoidal surfaces in Minkowski space–time E14\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb{E}}^{4}_{1}$$\end{document}. Next, we find the parametrizations of loxodromes on the non-degenerate helicoidal surfaces in E14\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb{E}}^{4}_{1}$$\end{document}. In addition, we give some results and examples by using Mathematica.