[HTML][HTML] Smarandache curves in the Galilean 4-space G4

M Elzawy, S Mosa - Journal of the Egyptian Mathematical society, 2017 - Elsevier
In this paper, we study Smarandache curves in the 4-dimensional Galilean space G 4. We
obtain Frenet-Serret invariants for the Smarandache curve in G 4. The first, second and third …

[HTML][HTML] Special equiform Smarandache curves in Minkowski space-time

EM Solouma - Journal of the Egyptian Mathematical Society, 2017 - Elsevier
In this paper, we introduce special equiform Smarandache curves reference to the equiform
Frenet frame of a curve ζ on a spacelike surface M in Minkowski 3-space E 1 3. Also, we …

Exploring Hasimoto surfaces within equiform geometry in Minkowski space

A Elsharkawy - Physica Scripta, 2024 - iopscience.iop.org
In this study, we investigate the equiform geometry of Hasimoto surfaces within the context of
three-dimensional Minkowski space. We analyze the geometric characteristics inherent to …

[PDF][PDF] Family of ruled surfaces generated by equiform Bishop spherical image in Minkowski 3-space

E Solouma, M Abdelkawy - AIMS Math, 2022 - researchgate.net
Family of ruled surfaces generated by equiform Bishop spherical image in Minkowski 3-space
Page 1 http://www.aimspress.com/journal/Math AIMS Mathematics, 8(2): 4372–4389. DOI …

Equiform spacelike normal curves according to equiform‐Bishop frame in

HK El‐sayied, M Elzawy… - Mathematical Methods in …, 2018 - Wiley Online Library
In this article, we present the equiform parameter and define the equiform‐Bishop frame in
Minkowski 3‐space. Additionally, we investigate the equiform‐Bishop formulas of the …

Special helices on equiform differential geometry of spacelike curves in Minkowski space-time

F Bulut, M Bektaş - … Faculty of Sciences University of Ankara Series …, 2020 - dergipark.org.tr
In our study, we establish k-type helices and (k, m)-type slant helices for equiform differential
geometry of spacelike curves in 4-dimensional Minkowski space E₁⁴ and give some new …

[PDF][PDF] On the equiform geometry of special curves in hyperbolic and de Sitter planes

AA Abdel-Salam, MI Elashiry, MK Saad - AIMS Mathematics, 2023 - aimspress.com
In this paper, we aim to investigate the equiform differential geometric properties of the
evolute and involute frontal curves in the hyperbolic and de Sitter planes. We inspect the …

[PDF][PDF] Osculating curves in the Galilean 4-space

DW Yoon, JW Lee, CW Lee - Int. J. Pure Appl. Math, 2015 - researchgate.net
In this paper, we study osculating curves and equiform osculating curves in the 4-
dimensional Galilean space G4 and characterize such curves in terms of their curvature …

[PDF][PDF] Equiform timelike normal curves in Minkowski space E3 1

HK El-sayied, M Elzawy, A Elsharkawy - Far East. J. Math. Sci, 2017 - researchgate.net
EQUIFORM TIMELIKE NORMAL CURVES IN MINKOWSKI SPACE E Page 1 Far East
Journal of Mathematical Sciences (FJMS) © 2017 Pushpa Publishing House, Allahabad …

Generalized spacelike normal curves in Minkowski three-space

Y Tashkandy, W Emam, C Cesarano, MMA El-Raouf… - Mathematics, 2022 - mdpi.com
Equiform geometry is considered an extension of other geometries. Furthermore, an
equiform frame is a generalization of the Frenet frame. In this study, we begin by defining the …