Results 11 to 20 of about 1,762,917 (199)
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
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Darboux Integrability and Reversible Quadratic Vector Fields
Rocky Mountain Journal of Mathematics, 2005 The authors study the Darboux theory of integrability for reversible polynomial vector fields in \({\mathbb R}^n\). In particular, they define the concept of \(\varphi\)-reversible vector fields for a given involution \(\varphi\) and show that if \(X\) is a \(\varphi\)-reversible quadratic vector field in \({\mathbb R}^2\) such that the set of fixed ...
Llibre, Jaume, Medrado, João Carlos
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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
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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
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Evolutions of partner-ruled surfaces with simultaneous inextensibility conditions. [PDF]
PLoS ONERuled 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 +2 more
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Darboux Transformation for the Vector Sine-Gordon Equation and Integrable Equations on a Sphere [PDF]
Letters in Mathematical Physics, 2016 We propose a method for construction of Darboux transformations, which is a new development of the dressing method for Lax operators invariant under a reduction group. We apply the method to the vector sine-Gordon equation and derive its B cklund transformations.
Mikhailov, Alexander V +2 more
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CHARACTERIZATIONS OF SPACE CURVES WITH 1-TYPE DARBOUX INSTANTANEOUS ROTATION VECTOR
Communications of the Korean Mathematical Society, 2016 Abstract. In this study, by using Laplace and normal Laplace operators,we give some characterizations for the Darboux instantaneous rotationvector field of the curves in the Euclidean 3-space E 3 . Further, we givenecessary and sufficient conditions for unit speed space curves to have1-type Darboux vectors.
ARSLAN, KADRİ +2 more
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Characterization of curves in E2n+1 with 1-type Darboux vector [PDF]
Mathematica Moravica, 2013 H. Kocayiğit +4 more
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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