Hasimoto surfaces in Galilean space

M Elzawy - Journal of the Egyptian Mathematical Society, 2021 - Springer
In this article Hasimoto surfaces in Galilean space G_ 3 G 3 will be considered, Gauss
curvature (K) and Mean curvature (H) of Hasimoto surfaces χ= χ (s, t) χ= χ (s, t) will be …

Helicoidal surfaces in Galilean space with density

S Mosa, M Elzawy - Frontiers in Physics, 2020 - frontiersin.org
In this paper, we construct helicoidal surfaces in the three dimensional Galilean space G 3.
The First and the Second Fundamental Forms for such surfaces will be obtained. Also, mean …

Surface pencil pair interpolating Bertrand pair as common asymptotic curves in Galilean space G3

X Jiang, P Jiang, J Meng, K Wang - International Journal of …, 2021 - World Scientific
In this paper, we derive the necessary and sufficient conditions of surface pencil pair
interpolating Bertrand pair as common asymptotic curves in Galilean space G3. Moreover …

Generalized tubes in pseudo‐Galilean 3‐space: Split semi‐quaternionic representations and an application to magnetic flux tubes

OO Tuncer - Mathematical Methods in the Applied Sciences, 2022 - Wiley Online Library
This paper deals with generalized tube surfaces (GTs) and their geometric properties in
pseudo‐Galilean 3‐space. We classify these surfaces into two types. We firstly compute the …

[PDF][PDF] On admissible curves and their evolution equations in pseudo-Galilean space

HS Abdel-Aziz, HM Serry, FM El-Adawy… - … of Mathematics and …, 2021 - scholar.archive.org
The evolution equations of some forms of admissible curves in the pseudo-Galilean Space
G1 3 are investigated in this paper. In more detail, we use two separate methods to obtain …

Characterizations of Frenet curves in Galilean 3-space

M Elzawy, S Mosa - J. Math. Comput. Sci., 2022 - scik.org
The aim of this paper is to prove that the distance function of every Frenet curve in G 3
satisfies a 4-th order differential equation. Also, we show that if α is a unit speed Frenet curve …

Notes on Curves at a Constant Distance from the Edge of Regression on a Curve in Galilean 3-Space G3

A Cakmak, S KIZILTUĞ, G Mumcu - CMES-Computer Modeling in …, 2023 - avesis.ebyu.edu.tr
© 2023 Tech Science Press. All rights reserved. In this paper, we define the curve rλ= r+ λd
at a constant distance from the edge of regression on a curve r (s) with arc length parameter …

Normal Curves in 4-Dimensional Galilean Space G4

S Mosa, M El-Fakharany, M Elzawy - Frontiers in Physics, 2021 - frontiersin.org
In this article, first, we give the definition of normal curves in 4-dimensional Galilean space G
4. Second, we state the necessary condition for a curve of curvatures τ (s) and σ (s) to be a …

On some special ruled surfaces

A Yildirim - New Trends in Mathematical Sciences, 2023 - search.proquest.com
In this paper, regarding α and β, we examine some special ruled surfaces in (α, β)-type
normal almost contact metric (briefly acm) manifolds whose base curves are almost contact …

Notes on curves at a constant distance from a curve in Galilean 3-space^ 3

S Kızıltuğ, G MUMCU - Authorea Preprints, 2024 - authorea.com
In this paper, we define the curve=+ at a constant distance from the edge of regression on a
curve () with arc length parameter in Galilean 3-space. Here, is a non-isotropic or isotropic …