Spirials are differentiable curves that meet all meridians of a rotational surface at a constant angle. In this study, we obtain differential equations of all spirals on hyperbolic oblate and Lorentzian prolate spheroids. Then we define the general parametrizations of spirals which are solutions of differential equations
In plane Lorentzian geometry it is studied points, timelike, spacelike and lightlike lines, triangle...
The relationships between certain families of special curves, including the general helices, slant h...
One of the most profound and prominent fact of nature today is that all astronomical bodies in the u...
In this paper, we examine timelike loxodromes on three kinds of Lorentzian helicoidal surfaces in M...
The so-called Clelia curve is a special spherical curve in Euclidean 3-space known already for centu...
AbstractIt is proved that, in Minkowski 3-space, a CSM-helicoidal surface, i.e., a helicoidal surfac...
In this work, we study Lorentzian spherical motion of rigid bodies by using instantaneous invariants...
trigonometric functions, hyperbolas, parabolas, cardioids,lemniscates, logarithmic spiralSinusoidal ...
AbstractA class of spiral minimal surfaces in E3 is constructed using a symmetry reduction. The redu...
AbstractA definition of the concept of a multidimensional spiralling manifold is studied. Manifolds ...
In this work, we study helix spacelike and timelike surfaces in the Lorentzian Berger sphere S3ε, th...
We consider Lorentz surfaces in R^3_1 satisfying the condition H^2−K≠0, where K and H are the Gaussi...
De Sitter space is a non-flat Lorentzian space form with positive constant curvature which plays an ...
Logarithmic spirals are isogonal trajectories of pencils of lines. From a series of geometric conseq...
We classify all helicoidal non-degenerate surfaces in Minkowski space with constant mean curvature a...
In plane Lorentzian geometry it is studied points, timelike, spacelike and lightlike lines, triangle...
The relationships between certain families of special curves, including the general helices, slant h...
One of the most profound and prominent fact of nature today is that all astronomical bodies in the u...
In this paper, we examine timelike loxodromes on three kinds of Lorentzian helicoidal surfaces in M...
The so-called Clelia curve is a special spherical curve in Euclidean 3-space known already for centu...
AbstractIt is proved that, in Minkowski 3-space, a CSM-helicoidal surface, i.e., a helicoidal surfac...
In this work, we study Lorentzian spherical motion of rigid bodies by using instantaneous invariants...
trigonometric functions, hyperbolas, parabolas, cardioids,lemniscates, logarithmic spiralSinusoidal ...
AbstractA class of spiral minimal surfaces in E3 is constructed using a symmetry reduction. The redu...
AbstractA definition of the concept of a multidimensional spiralling manifold is studied. Manifolds ...
In this work, we study helix spacelike and timelike surfaces in the Lorentzian Berger sphere S3ε, th...
We consider Lorentz surfaces in R^3_1 satisfying the condition H^2−K≠0, where K and H are the Gaussi...
De Sitter space is a non-flat Lorentzian space form with positive constant curvature which plays an ...
Logarithmic spirals are isogonal trajectories of pencils of lines. From a series of geometric conseq...
We classify all helicoidal non-degenerate surfaces in Minkowski space with constant mean curvature a...
In plane Lorentzian geometry it is studied points, timelike, spacelike and lightlike lines, triangle...
The relationships between certain families of special curves, including the general helices, slant h...
One of the most profound and prominent fact of nature today is that all astronomical bodies in the u...
DOI
Add to ORKG