Constant curvature translation surfaces in Galilean 3-space

ME Aydın, MA Külahçı, AO Öğrenmiş - … Electronic Journal of …, 2019 - dergipark.org.tr
There are five different types of translation surfaces in a Galilean 3-space based upon
planarity of generating curves and absolute figure. We obtain these surfaces with arbitrary …

Surfaces of revolution with vanishing curvature in Galilean 3-space

M Dede, C Ekici, W Goemans - JOURNAL OF MATHEMATICAL …, 2018 - avesis.ogu.edu.tr
In the paper, three types of surfaces of revolution in the Galilean 3-space are defined and
studied. The construction of the well-known surface of revolution, defined as the trace of a …

The conchoidal twisted surfaces constructed by anti-symmetric rotation matrix in Euclidean 3-Space

S Çelik, HB Karadağ, H Kuşak Samancı - Symmetry, 2023 - mdpi.com
A twisted surface is a type of mathematical surface that has a nontrivial topology, meaning
that it cannot be smoothly deformed into a flat surface without tearing or cutting. Twisted …

Tubular surfaces with Galilean Darboux frame in

DW Yoon, ZK Yüzbaşı - Журнал математической физики, анализа …, 2019 - mathnet.ru
The main point of the research is to study a new approach for defining the tubular surfaces
with the Galilean Darboux frame in 3-dimensional Galilean space. Also, we obtain the …

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] THA-surfaces of finite type in the Galilean space 𝔾

B Senoussi, K Beddani, A Bennour - Annals of West University of …, 2022 - sciendo.com
THA-surfaces of finite type in the Galilean space G3 Page 1 DOI: 10.2478/awutm-2022-0007
Annals of West University of Timisoara Mathematics and Computer Science 58, 1, (2022), 85 …

Translation-factorable surfaces with vanishing curvatures in Galilean 3-spaces: TF-Surfaces with vanishing curvatures

A Kelleci - International Journal of Maps in Mathematics, 2021 - journalmim.com
In this paper, we define two types of Translation-Factorable (TF-) surfaces in the Galilean 3-
space. Then, we obtain the complete classification of these surfaces with vanishing …

Loxodromes on twisted surfaces in Euclidean 3-space

M Altın - Turkish Journal of Science and Technology, 2022 - dergipark.org.tr
In the present paper, loxodromes, which cut all meridians and parallels of twisted surfaces
(that can be considered as a generalization of rotational surfaces) at a constant angle, have …

Twisted Surfaces in Semi-Euclidean -Space with Index

A Uçum, K İlarslan, Ç Camcı - International Electronic Journal of …, 2024 - dergipark.org.tr
In this paper, we consider the twisted surfaces in semi-Euclidean 4-space with index 2. We
classify the twisted surface with respect to their spine curve which are non-null or null …

Loxodromes on twisted surfaces in Lorentz–Minkowski 3-space

A Kazan, M Altın - Asian-European Journal of Mathematics, 2023 - World Scientific
In this paper, first, we give the general formulas according to first fundamental form of a
surface for different types of loxodromes, meridians and surfaces in E 1 3. After that, we …