Results 11 to 20 of about 1,619,181 (215)

Smarandache curves according to Sabban frame for Darboux vector of Mannheim partner curve [PDF]

AIP Conference Proceedings, 2017
In this paper, we investigated special Smarandache curves belonging to Sabban frame drawn on the surface of the sphere by Darboux vector of Mannheim partner curve. We created Sabban frame belonging to this curve.
S. Şenyurt, Yasin Altun, Ceyda Cevahir
semanticscholar   +2 more sources

On The Darboux Vector Belonging To Involute Curve A Different View

Mathematical Sciences and Applications E-Notes, 2016
In this paper, we investigated special Smarandache curves in terms of Sabban frame drawn on the surface of the sphere by the unit Darboux vector of involute curve. We created Sabban frame belonging to this curve. It was explained Smarandache curves position vector is composed by Sabban vectors belonging to this curve.
S. Şenyurt, Yasin Altun, Ceyda Cevahir
semanticscholar   +4 more sources

N-Bishop Darboux vector of the spacelike curve with spacelike binormal

Thermal Science, 2019
In this article, the N-Bishop frame in Minkowski space is investigated for spacelike curves with a spacelike binormial. Some features of the normal expansion are proven via for the spacelike curve. Then, a new Darboux frame called by the N-Bishop Darboux
Hatice Kusak-Samanci, H. Kocayiğit
semanticscholar   +3 more sources

On the Darboux Vector of Ruled Surfaces in Pseudo-Galilean Space [PDF]

Mathematical and Computational Applications, 2011
In the Euclidean space the Darboux vector may be interpreted kinematically as the direction of the instantaneous axis of rotation in the moving trihedron. In this paper we mainly study the Darboux vector of ruled surfaces in pseudo-Galilean space.
Cumali Ekici, Mustafa Dede
semanticscholar   +2 more sources

Evolutions of partner-ruled surfaces with simultaneous inextensibility conditions. [PDF]

PLoS ONE
Ruled surfaces are a class of surfaces generated by a moving straight line and are used in various design and modeling applications, including kinematics, robotics, and computer-aided geometric design.
Kemal Eren, Soley Ersoy, Mohammad Nazrul Islam Khan   +2 more
doaj   +2 more sources

On some new frames along a space curve and integral curves with Darboux q-vector fields in $ \mathbb{E}^3 $

AIMS Mathematics
In this paper, to start we defined osculating q-frame, normal q-frame, and rectifying q-frame along a space curve in Euclidean 3-space $ \mathbb{E}^3 $ by using the Darboux vector field of the q-frame.
Bahar UYAR DÜLDÜL
doaj   +2 more sources

Characterization of curves in E2n+1 with 1-type Darboux vector [PDF]

Mathematica Moravica, 2013
H. Kocayiğit, G. Öztürk, B. Bayram, B. Bulca, K. Arslan   +4 more
semanticscholar   +3 more sources

ADAPTED FRAME AND DARBOUX TYPE VECTOR OF SPACELIKE FRAMED CURVES

Proceeding Book of 4th International Conference on Engineering and Applied Natural Sciences ICEANS 2023, 2023

semanticscholar   +2 more sources

Another application of Smarandache based ruled surfaces with the Darboux vector according to Frenet frame in $E^{3}$

Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2023
In this study, we first define the Smarandache curves derived from the Frenet vectors and the Darboux vector of any curve. Then, we construct new ruled surfaces along these Smarandache curves with the direction vectors obtained from the Frenet vectors ...
S. Şenyurt, Davut Canlı, Elif Çan, Sümeyye Gür Mazlum   +3 more
semanticscholar   +1 more source

ON RULED SURFACE GENERATED BY DARBOUX VECTOR OF NATURAL LIFT CURVE IN MINKOWSKI SPACE

Journal of Science and Arts, 2023
In this study, Darboux vector W ̅ of the natural lift curve α ̅ for the given curve α is calculated in terms of the types of curves in Minkowski space.
S. Afsar, M. Çalişkan, Emel Karaca
semanticscholar   +1 more source