[PDF][PDF] Surfaces family with a common Mannheim asymptotic curve
GS Atalay - J. Appl. Math. Comput, 2018 - hillpublisher.com
In this paper, we analyzed surfaces family possessing a Mannheim partner of a given curve
as a asymptotic. Using the Frenet frame of the curve in Euclidean 3-space, we express the …
as a asymptotic. Using the Frenet frame of the curve in Euclidean 3-space, we express the …
[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 …
curve as a geodesic. Using the Frenet frame of the curve in Euclidean 3-space, we express …
Surface family with a common Mannheim B-pair asymptotic curve
In this paper, we construct a surface family possessing a Mannheim B-pair of a given curve
as an asymptotic curve. Using the Bishop frame of the given Mannheim B curves, we present …
as an asymptotic curve. Using the Bishop frame of the given Mannheim B curves, we present …
Mannheim B-Curves in the Euclidean 3-Space E^ 3
In this study we have defined Mannheim curves according to a Bishop frame and called
Mannheim B-curves in the Euclidean 3-space E^ 3. Then the relations have been found …
Mannheim B-curves in the Euclidean 3-space E^ 3. Then the relations have been found …
Dual magnetic curves and flux ruled surfaces
In this paper, we introduce the dual magnetic trajectories traced by the dual Frenet vectors of
any dual curves in dual space via the dual Lorentz force, and then we give the …
any dual curves in dual space via the dual Lorentz force, and then we give the …
On Mannheim partner curves in three dimensional Lie groups
In this paper, we define Mannheim partner curves in a three dimensional Lie group G with a
bi-invariant metric. And then the main result in this paper is given as (Theorem 3.3): A curve …
bi-invariant metric. And then the main result in this paper is given as (Theorem 3.3): A curve …
A study on dual Mannheim partner curves
Mannheim partner curves are studied by Liu and Wang [1, 2]. Orbay and others extended
the theory of the Mannheim curves to the ruled surface in Euclidean 3-space [3]. We obtain …
the theory of the Mannheim curves to the ruled surface in Euclidean 3-space [3]. We obtain …
[PDF][PDF] On Dual Slant Helices in D3
D Saglam - Advances in Mathematics: Scientific Journal, 2022 - research-publication.com
578 D. Saglam points on D3 represent two skew-lines in R3. A dual space curve on dual unit
sphere in D3 represents a ruled surface in R3 [1, 2]. A curve is called a general helix is if the …
sphere in D3 represents a ruled surface in R3 [1, 2]. A curve is called a general helix is if the …
[PDF][PDF] Some notes on dual spherical curves
Y Yayli, S Saracoğlu - Journal of Informatics and Mathematical Sciences, 2011 - Citeseer
In this study, by investigating one parameter spherical motion in D3 with two different kinds
of dual indicatrice curves, we have obtained the ruled surfaces that correspond to tangent …
of dual indicatrice curves, we have obtained the ruled surfaces that correspond to tangent …
Different approaches to ruled surfaces
Y Yaylı, S Saraçoğlu - Süleyman Demirel University Faculty of Arts …, 2012 - dergipark.org.tr
In this study, surfaces are defined by using dual vectors and line transformations. A new
approach is given for the transformation of parametrically surfaces. Dual curve and dual …
approach is given for the transformation of parametrically surfaces. Dual curve and dual …