In this paper, the relationships between geodesic torsions, normal curvatures and geodesic
curvatures of the parameter curves intersecting at any angle on timelike surfaces in Lorentz …

In this article, we first study a class of helicoidal surfaces in Minkowski space–time E 1 4 \documentclass[12pt]{minimal}
\usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} …

Special curves and surfaces have an important place in mathematics, engineering and other
fields of science. Loxodromes are special curves which cut all meridians on the Earth's …

A curve on a surface is a geodesic curve if its principal normal vector is anywhere aligned
with the surface normal. Using the Serret–Frenet frame, a timelike surface couple (TLSC) …

In this paper, we study on three kinds of spacelike helicoidal surfaces in Minkowski $4 $--
space. First, we give an isometry between such helicoidal surfaces and rotational surfaces …

In this paper, we study on three kinds of spacelike helicoidal surfaces in Minkowski 4-space.
First, we give an isometry between such helicoidal surfaces and rotational surfaces which is …

In this paper, we study three types of helicoidal surfaces in a Lorentzian n--space $\mathbb
{E}^ n_1 $. First, we find the parametrizations of spacelike loxodromes on such spacelike …

In this paper, we obtain the differential equations of the space-like loxodromes on the non-
degenerate canal surfaces depending on the causal characters of these canal surfaces and …

We introduce the fourth fundamental form of a Dini-type helicoidal hypersurface in the four
dimensional Euclidean space E 4. We find the Gauss map of helicoidal hypersurface in E 4 …

In this paper, first, we give the general formulas according to first fundamental form of a
surface for different types of loxodromes, meridians and surfaces in E 1 3. After that, we …