Surface family with a common involute asymptotic curve

E Bayram, M Bilici - International Journal of Geometric Methods in …, 2016 - World Scientific
We construct a surface family possessing an involute of a given curve as an asymptotic
curve. We express necessary and sufficient conditions for that curve with the above property …

A surface family with a mutual geodesic curve in Galilean 3-space G 3

A Al-Jedani, RA Abdel-Baky - Mathematics, 2023 - mdpi.com
This article gives an approach for establishing a surface family with a mutual geodesic curve
in Galilean 3-space G 3. Given a smooth space curve, we derive the sufficient and …

Surface pencil with a common line of curvature in Minkowski 3-space

E Ergün, E Bayram, E Kasap - Acta Mathematica Sinica, English Series, 2014 - Springer
In this paper, we analyze the problem of constructing a surface pencil from a given spacelike
(timelike) line of curvature. Using the Frenet frame of the given line of curvature in Minkowski …

[图书][B] Surfaces family with a common Mannheim geodesic curve

GŞ ATALAY - 2018 - books.google.com
In this paper, we analyzed surfaces family possessing a Mannheim partner curve of a given
curve as a geodesic. Using the Frenet frame of the curve in Euclidean 3-space, we express …

Surfaces family with common null asymptotic

GŞ Atalay, E Kasap - Applied Mathematics and Computation, 2015 - Elsevier
We analyzed the problem of finding a surfaces family through an asymptotic curve with
Cartan frame. We obtain the parametric representation for surfaces family whose members …

Surfaces Family with Bertrand Curves as Common Asymptotic Curves in Euclidean 3–Space E3

MT Aldossary, RA Abdel-Baky - Symmetry, 2023 - mdpi.com
The main result of this paper is constructing a surfaces family with the similarity of Bertrand
curves in Euclidean 3–space E 3. Then, by utilizing the Serret–Frenet frame, we conclude …

On constructions of surfaces using a geodesic in Lie group

ZK Yuzbas, DW Yoon - Journal of Geometry, 2019 - Springer
In this study, we investigate the problem how to characterize a surface family from a given
common geodesic curve in a 3-dimensional Lie group G. We obtain a parametric …

[PDF][PDF] yüksek lisans tezi

ESEKN Olan, KF İncelenmesi - Hacettepe Üniversitesi Sağlık …, 1992 - dspace.ankara.edu.tr
ANKARA ÜNİVERSİTESİ FEN BİLİMLERİ ENSTİTÜSÜ YÜKSEK LİSANS TEZİ BATI
KARADENİZ BÖLGESİ’NDE YER ALAN ZONGULDAK Page 1 ANKARA ÜNİVERSİTESİ …

AN APPROACH FOR HYPERSURFACE FAMILY WITH COMMON GEODESIC CURVE IN THE 4D GALILEAN SPACE G4

DW Yoon, ZK Yuzbasi - The Pure and Applied Mathematics, 2018 - koreascience.kr
In the present study, we derive the problem of constructing a hypersurface family from a
given isogeodesic curve in the 4D Galilean space $ G_4 $. We obtain the hypersurface as a …

Hypersurfaces with a common asymptotic curve in the 4D Galilean space

R Makki - Asian-European Journal of Mathematics, 2022 - World Scientific
In this study, we investigate how to construct hypersurfaces using an asymptotic curve in the
4D Galilean space 𝔾 4. Then, by utilizing the Serret–Frenet frame, we give the conditions …