HYPERSURFACE FAMILIES WITH SMARANDACHE CURVES IN GALILEAN 4-SPACE.
In this paper, we study the hypersurface families with Smarandache curves in 4-dimensional
Galilean space G4 and give the conditions for different Smarandache curves to be …
Galilean space G4 and give the conditions for different Smarandache curves to be …
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 …
given isogeodesic curve in the 4D Galilean space $ G_4 $. We obtain the hypersurface as a …
Ruled surface family with common special curve
S Yaman, E Kasap - Journal of Geometry and Physics, 2024 - Elsevier
In this paper, we investigate the problem of the construction of a ruled surface family passing
through the striction curve (c) of a ruled surface φ. We first define ruled surface family with …
through the striction curve (c) of a ruled surface φ. We first define ruled surface family with …
Family of Surfaces with a Common Bertrand D-Curve as Isogeodesic, Isoasymptotic and Line of Curvature.
In this paper, we establish the necessary and sufficient conditions to parameterize a surface
family on which the Bertrand D-partner of any given curve lies as isogeodesic, isoasymptotic …
family on which the Bertrand D-partner of any given curve lies as isogeodesic, isoasymptotic …
Hypersurface families with Smarandache curves in Galilean 4-space
In this paper, we study the hypersurface families with Smarandache curves in 4-dimensional
Galilean space G4 and give the conditions for different Smarandache curves to be …
Galilean space G4 and give the conditions for different Smarandache curves to be …
Hypersurface families with common non-null geodesic in Minkowski 4-space
Ç Turan, M Altin, HB Karadaǧ - Advanced Studies: Euro-Tbilisi …, 2022 - projecteuclid.org
In this study, we create hypersurface families from each non-null isogeodesic, with non-null
Frenet vectors, given in the Minkowski 4-space. We obtain parametric representations for …
Frenet vectors, given in the Minkowski 4-space. We obtain parametric representations for …
4-Boyutlu Lorentz Minkowski Uzayında Null Olmayan Ortak İzoasimptotik Eğrili Hiperyüzey Aileleri
Ç Turan, M Altın, HB Karadağ - Avrupa Bilim ve Teknoloji Dergisi, 2022 - dergipark.org.tr
Bu çalışmada, E_^ 4 Lorentz Minkowski uzayında null olmayan Frenet vektörlere sahip
spacelike ve timelike eğrilerinden geçen hiperyüzeylerin parametrik denklemi, bu eğrinin …
spacelike ve timelike eğrilerinden geçen hiperyüzeylerin parametrik denklemi, bu eğrinin …
An Approach for Hypersurface Family with Common Geodesic Curve in the 4D Galilean Space G4
ZK Yüzbaşı, DW Yoon - arXiv preprint arXiv:1612.01358, 2016 - arxiv.org
In the present study, we derive the problem of constructing a hypersurface family from a
given isogeodesic curve in the 4D Galilean space $\mathbf {G} _ {4}. $ We obtain the …
given isogeodesic curve in the 4D Galilean space $\mathbf {G} _ {4}. $ We obtain the …
Ortak Bertrand-B isogeodezik eğriye sahip yüzey aileleri
Bu çalışmada 3-boyutlu Öklid uzayında parametrik denklemi ile verilen yüzey üzerinde
eğriliği sıfırdan farklı olan bir eğrinin Bertrand B-çiftinin bu yüzey üzerinde isogeodezik …
eğriliği sıfırdan farklı olan bir eğrinin Bertrand B-çiftinin bu yüzey üzerinde isogeodezik …
(R1499) Family of Surfaces with a Common Bertrand D-Curve as Isogeodesic, Isoasymptotic and Line of Curvature
In this paper, we establish the necessary and sufficient conditions to parameterize a surface
family on which the Bertrand D-partner of any given curve lies as isogeodesic, isoasymptotic …
family on which the Bertrand D-partner of any given curve lies as isogeodesic, isoasymptotic …