Results 21 to 30 of about 1,619,181 (215)
Salkowski Curves and Their Modified Orthogonal Frames in $\mathbb{E}^{3}$
Journal of New Theory, 2022 In this study, we examine some properties of Salkowski curves in $\mathbb{E}^{3}$. We then make sense of the angle $(nt)$ in the parametric equation of the Salkowski curves.
Mehmet Bektaş +2 more
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Gümüşhane Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2021 In this paper, we have defined special Smarandache curves according to Sabban frame formed by the unit Darboux vector of Anti - Salkowski curve. Next, the Sabban frame belonging to these curves have been constituted.
S. Şenyurt, Melek Uzun
semanticscholar +1 more source
Abstract and Applied Analysis, 2021 In this work, we consider the Darboux frame T,V,U of a curve lying on an arbitrary regular surface and we construct ruled surfaces having a base curve which is a V-direction curve.
Nidal Echabbi, Amina Ouazzani Chahdi
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Sweeping surface due to rotation minimizing Darboux frame in Euclidean 3-space E3
AIMS Mathematics, 2023 In this paper, we address a new version of Darboux frame using a common tangent vector field to a surface along a curve and call this frame the rotation minimizing Darboux frame (RMDF).
Maryam T. Aldossary +1 more
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Quaternionic Shape Operator and Rotation Matrix on Ruled Surfaces
Axioms, 2023 In this article, we examine the relationship between Darboux frames along parameter curves and the Darboux frame of the base curve of the ruled surface. We derive the equations of the quaternionic shape operators, which can rotate tangent vectors around ...
Yanlin Li, Abdussamet Çalışkan
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Generating Generalized Cylinder with Geodesic Base Curve According to Darboux Frame
Journal of New Theory, 2021 This paper aims to design a generalized cylinder with a geodesic base curve according to the Darboux frame in Euclidean 3-space. A generalized cylinder is a special ruled surface that is constructed by a continuous fixed motion of a generator line called
Nabil Althibany
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Characterizations of Unit Darboux Ruled Surface with Quaternions
Journal of New Theory, 2023 This paper presents a quaternionic approach to generating and characterizing the ruled surface drawn by the unit Darboux vector. The study derives the Darboux frame of the surface and relates it to the Frenet frame of the base curve. Moreover, it obtains
Abdussamet Çalışkan
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Harmonic Evolute Surface of Tubular Surfaces via B-Darboux Frame in Euclidean 3-Space
Advances in Mathematical Physics, 2021 In this article, we look at a surface associated with real-valued functions. The surface is known as a harmonic surface, and its unit normal vector and mean curvature have been used to characterize it. We use the Bishop-Darboux frame (B-Darboux frame) in
E. M. Solouma, Ibrahim AL-Dayel
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Realization problems for limit cycles of planar polynomial vector fields [PDF]
, 2015 We show that for any finite configuration of closed curves $\Gamma\subset \mathbb{R}^2$, one can construct an explicit planar polynomial vector field that realizes $\Gamma$, up to homeomorphism, as the set of its limit cycles with prescribed periods ...
Margalef-Bentabol, Juan +1 more
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On a Vector Modified Yajima–Oikawa Long-Wave–Short-Wave Equation
Mathematics, 2019 A vector modified Yajima−Oikawa long-wave−short-wave equation is proposed using the zero-curvature presentation. On the basis of the Riccati equations associated with the Lax pair, a method is developed to construct multi-fold classical and ...
Xianguo Geng, Ruomeng Li
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