Mannheim curves with modified orthogonal frame in Euclidean 3-space
MS LONE, H Es, MK Karacan… - Turkish Journal of …, 2019 - journals.tubitak.gov.tr
Mannheim curves with modified orthogonal frame in Euclidean 3-space Page 1 Turkish Journal
of Mathematics Volume 43 Number 2 Article 7 1-1-2019 Mannheim curves with modified …
of Mathematics Volume 43 Number 2 Article 7 1-1-2019 Mannheim curves with modified …
[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 …
[PDF][PDF] N* C*-Smarandache curves of Mannheim curve couple according to Frenet frame
S Senyurt, A Çaliskan - International Journal of Mathematical …, 2015 - fs.unm.edu
In this paper, when the unit Darboux vector of the partner curve of Mannheim curve are
taken as the position vectors, the curvature and the torsion of Smarandache curve are …
taken as the position vectors, the curvature and the torsion of Smarandache curve are …
Some Characteristic Properties of Parallel z‐Equidistant Ruled Surfaces
E As, S Şenyurt - Mathematical Problems in Engineering, 2013 - Wiley Online Library
Some characteristic properties of two ruled surfaces whose principal normal vectors are
parallel along their striction curves in E3 are examined by assuming that the distance …
parallel along their striction curves in E3 are examined by assuming that the distance …
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 …
On null and pseudo null Mannheim curves in Minkowski 3-space
M Grbović, K Ilarslan, E Nešović - Journal of Geometry, 2014 - Springer
In this paper, we prove that there are no null Mannheim curves in Minkowski 3-space. We
also prove that the only pseudo null Mannheim curves in Minkowski 3-space are pseudo …
also prove that the only pseudo null Mannheim curves in Minkowski 3-space are pseudo …
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 …
Some characterizations of Mannheim partner curves in Minkowski 3-space
T Kahraman, M Önder, M Kazaz, HH Uğurlu - arXiv preprint arXiv …, 2011 - arxiv.org
In this paper, we give the characterizations of Mannheim Partner Curves in Minkowski 3-
space. Firstly, we classify these curves in. Next, we give some relationships characterizing …
space. Firstly, we classify these curves in. Next, we give some relationships characterizing …
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 …