Directional evolution of the ruled surfaces via the evolution of their directrix using q-frame along a timelike space curve

GU Kaymanli, C Ekici, M Dede - Avrupa Bilim ve Teknoloji Dergisi, 2020 - dergipark.org.tr
In this study, the ruled surfaces obtained by normal and binormal vectors along a timelike
space curve in 3 dimensional Minkowski space by using q-frame is investigated. Directional …

Geometry and evolution of Hasimoto surface in Minkowski 3-space

HS Abdel-Aziz, HM Serry, FM El-Adawy, MK Saad - Plos one, 2024 - journals.plos.org
The main goal of this paper is to introduce the evolution equations for a timelike Hasimoto
surface from its fundamental form coefficients in Minkowski 3-space E 1 3. By utilizing the …

Inextensible Flows of Null Cartan Curves in Minkowski Space R 2, 1

S Gaber, A Al Elaiw - Universe, 2023 - mdpi.com
This research focused on studying the flows of a null Cartan curve specified by the velocity
and acceleration fields. We have proven that the tangential and normal velocities are …

On evolution of some associated type ruled surfaces

A Kelleci, K Eren - Mathematical Sciences and Applications E-Notes, 2020 - dergipark.org.tr
In this study, we define three new type ruled surfaces obtained by using the evolution of
involute-evolute curve pair in Euclidean 3-space. Then, we give some nice results for the …

A New Modified Orthogonal Saban Frame on and and the Evolution of Curves

A Kızılay, A Tuğkan Yakut - Iranian Journal of Science, 2025 - Springer
In this paper, we describe a new modified orthogonal Saban frame for timelike and
spacelike curves with geodesic curvature on S 1 2 and the Saban frame for hyperbolic …

[PDF][PDF] New Applications on the Flows of Space-like curves specified by Normal acceleration in Minkowski Space ℝ

A Al Elaiw, S Gaber - Applied Mathematics and Nonlinear …, 2024 - intapi.sciendo.com
This paper investigates the kinematic motions of space-like and time-like curves specified by
acceleration fields in Minkowski space ℝ2, 1. Through the motion, the relationship between …

A Study on Normal Motion of the Torus of Revolution in ℝ

S Gaber, N Alfadhli, EI Mahmoud - Applied Mathematics and Nonlinear …, 2024 - sciendo.com
In the present research paper, we investigate the motion of surfaces in R3 according to their
curvatures. We study the motion of the torus of revolution via the normal velocity. We …

[PDF][PDF] Applied Mathematics and Nonlinear Sciences

S Gaber, N Alfadhli, EI Mahmoud - 2023 - intapi.sciendo.com
In the present research paper, we investigate the motion of surfaces in ℝ3 according to their
curvatures. We study the motion of the torus of revolution via the normal velocity. We …

Evolutions of the Ruled Surfaces along a Spacelike Space Curve

UR KAYMANLI, G UG - Punjab University Journal of …, 2022 - journals.pu.edu.pk
In this paper, we work on the ruled surfaces obtained by aquasi normal and quasi binormal
vectors along a spacelike space curve inthree dimensional Minkowski space. Time evolution …