Singularity properties of timelike sweeping surface in Minkowski 3-space

Y Li, SH Nazra, RA Abdel-Baky - Symmetry, 2022 - mdpi.com
In this paper, we give the parametric equation of the Bishop frame for a timelike sweeping
surface with a unit speed timelike curve in Minkowski 3-space. We introduce a new …

Timelike circular surfaces and singularities in Minkowski 3-space

Y Li, F Mofarreh, RA Abdel-Baky - Symmetry, 2022 - mdpi.com
The present paper is focused on time-like circular surfaces and singularities in Minkowski 3-
space. The timelike circular surface with a constant radius could be swept out by moving a …

The Characterizations of Parallel q-Equidistant Ruled Surfaces

Y Li, S Şenyurt, A Özduran, D Canlı - Symmetry, 2022 - mdpi.com
In this paper, parallel q-equidistant ruled surfaces are defined such that the binormal vectors
of given two differentiable curves are parallel along the striction curves of their …

One-parameter Lorentzian dual spherical movements and invariants of the axodes

Y Li, N Alluhaibi, RA Abdel-Baky - Symmetry, 2022 - mdpi.com
E. Study map is one of the most basic and powerful mathematical tools to study lines in line
geometry, it has symmetry property. In this paper, based on the E. Study map, clear …

The Darboux trihedrons of timelike surfaces in the Lorentzian 3-space

Y Li, SG Mazlum, S Şenyurt - International Journal of Geometric …, 2023 - World Scientific
The parameter curves (c 1) and (c 2) intersecting under the angle 𝜃 on a timelike surface
and any curve (c) passing through the same point with these curves have six different cases …

Conformal Ricci soliton and almost conformal Ricci soliton in paracontact geometry

S Dey - International Journal of Geometric Methods in Modern …, 2023 - World Scientific
In this paper, we study conformal Ricci soliton and almost conformal Ricci soliton within the
framework of paracontact manifolds. Here, we have shown the characteristics of the soliton …

A Study of Conformal -Einstein Solitons on Trans-Sasakian 3-Manifold

Y Li, S Mondal, S Dey, A Bhattacharyya… - Journal of Nonlinear …, 2023 - Springer
We study conformal η-Einstein solitons on the framework of trans-Sasakian manifold in
dimension three. Existence of conformal η-Einstein solitons on trans-Sasakian manifold is …

Ricci soliton and certain related metrics on a three-dimensional trans-Sasakian manifold

Z Chen, Y Li, S Sarkar, S Dey, A Bhattacharyya - Universe, 2022 - mdpi.com
In this article, a Ricci soliton and∗-conformal Ricci soliton are examined in the framework of
trans-Sasakian three-manifold. In the beginning of the paper, it is shown that a three …

Singularities of Osculating Developable Surfaces of Timelike Surfaces along Curves

Y Wang, L Yang, P Li, Y Chang - Symmetry, 2022 - mdpi.com
In this paper, we focus on a developable surface tangent to a timelike surface along a curve
in Minkowski 3-space, which is called the osculating developable surface of the timelike …

Singularity properties of timelike circular surfaces in Minkowski 3-space

AA Almoneef, RA Abdel-Baky - International Journal of Geometric …, 2023 - World Scientific
The approach of the study is on singularity properties of timelike circular surfaces in
Minkowski 3-space. A timelike circular surface is a one-parameter set of Lorentzian circles …