[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 …

On some curves with modified orthogonal frame in Euclidean 3-space

MS Lone, H Es, MK Karacan, B Bukcu - Iranian Journal of Science and …, 2019 - Springer
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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 …

[PDF][PDF] Some special Smarandache ruled surfaces by Frenet frame in E3-II

S Senyurt, D Canlı, E Can… - Honam Mathematical …, 2022 - researchgate.net
In this study, firstly Smarandache ruled surfaces whose base curves are Smarandache
curves derived from Frenet vectors of the curve, and whose direction vectors are unit vectors …

On the parallel surfaces in Galilean space

M Dede, C Ekici, AC Cöken - Hacettepe Journal of Mathematics and …, 2013 - dergipark.org.tr
In this paper, first of all, the definition of parallel surfaces in Galileanspace is given. Then, the
relationship between the curvatures of theparallel surfaces in Galilean space is determined …

Classification of factorable surfaces in the pseudo-Galilean space

ME Aydin, AO Öğrenmiş, M Ergüt - Glasnik matematički, 2015 - hrcak.srce.hr
Sažetak In this paper, we introduce the factorable surfaces in the pseudo-Galilean space
G31 and completely classify such surfaces with null Gaussian and mean curvature. Also, in …

[PDF][PDF] Tubular surfaces of Weingarten types in Galilean and pseudo-Galilean

MK Karacan, Y Tuncer - Bull. Math. Anal. Appl, 2013 - kurims.kyoto-u.ac.jp
In this paper, we have defined canal surfaces in Galilean and Pseudo-Galilean 3-spaces.
Then, we have studied Tubular surface in Galilean and Pseudo-Galilean 3-space satisfying …

[PDF][PDF] On a family of surfaces with common asymptotic curve in the Galilean space G3

ZK Yüzbası - J. Nonlinear Sci. Appl, 2016 - emis.de
In this paper, we obtain the parametric representation for a family of surfaces through a
given asymptotic curve by using the Frenet frame in the Galilean space G3. Necessary and …

[PDF][PDF] The equiform differential geometry of curves in 4-dimensional Galilean space G4

ME Aydin, M Ergut - Stud. Univ. Babes-Bolyai Math, 2013 - researchgate.net
In this paper, we establish equiform differential geometry of curves in 4-dimensional
Galilean space G4. We obtain the angle between the equiform Frenet vectors and their …

[PDF][PDF] Construction of the Frenet-Serret frame of a curve in 4D Galilean space and some applications

S Yılmaz - International Journal of the Physical Sciences, 2010 - academicjournals.org
In this work, first, we construct Frenet-Serret frame of a curve in the Galilean 4-space. As a
result of this, we obtain the mentioned curve's Frenet-Serret equations. Then, we prove that …