Results 21 to 30 of about 247 (173)
Curves of constant breadth according to Darboux frame
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2017 In this paper, we investigate constant breadth curves on a surface according to Darboux frame and give some characterizations of these curves.
ALTUNKAYA, Bülent +1 more
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On the Timelike Sweeping Surfaces and Singularities in Minkowski 3-Space E13
Abstract and Applied Analysis, 2022 The Bishop frame or rotation minimizing frame (RMF) is an alternative approach to define a moving frame that is well defined even when the curve has vanished second derivative, and it has been widely used in the areas of computer graphics, engineering ...
Nadia Alluhaibi +2 more
doaj +1 more source
Darboux Frame of a Curve Lying on a Lightlike Surface
Mathematical Sciences and Applications E-Notes, 2016 In this study, the Darboux frame is given for a curve lying on the lightlike surface of three dimensional Minkowski space. Moreover, known curvatures of the curve are obtained according to the Darboux frame and relationships between these curvatures are acquired.
TOPBAŞ, E. Selcen Yakıcı +3 more
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On the evolute offsets of ruled surfaces using the Darboux frame
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2019 Summary: In this study, using Darboux frame \(\{\mathbf{T},\mathbf{g},\mathbf{n}\}\) of ruled surface \(\varphi(s,v)\), the evolute offsets \(\varphi^*(s,v)\) with Darboux frame \(\{\mathbf{T}^*,\mathbf{g}^*, \mathbf(n)^*\}\) of \(\varphi^*(s,v)\) are defined. Characteristic properties of \(\varphi^*(s, v)\) as a striction curve, distribution parameter
ŞENTÜRK, Gülsüm Yeliz, YÜCE, Salim
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Spinor Darboux equations of curves in Euclidean 3-space [PDF]
Mathematica Moravica, 2015 In this paper, the spinor formulation of Darboux frame on an oriented surface is given. Also, the relation between spinor formulation of Frenet frame and Darboux frame is obtained.
Kisi Ilim, Tosun Murat
doaj
Quantum reference frames: derivation of perspective-dependent descriptions via a perspective-neutral structure [PDF]
Quantum, 2023 In standard quantum mechanics, reference frames are treated as abstract entities. We can think of them as idealized, infinite-mass subsystems which decouple from the rest of the system. In nature, however, all reference frames are realized through finite-
Viktor Zelezny
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Smarandache Curves of the Evolute Curve According to Sabban Frame
Communications in Advanced Mathematical Sciences, 2020 The aim of this paper is to define Smarandache curves according to the Sabban frame belonging to the unit Darboux vector of spherical indicatrix curve of the evolute curve. Also, we calculate the geodesic curvatures of these curves.
Süleyman Şenyurt, Yasin Altun
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Smarandache-Based Ruled Surfaces with the Darboux Vector According to Frenet Frame in $E^3$
Journal of New Theory, 2022 The paper introduces a new kind of special ruled surface. The base of each ruled surface is taken to be one of the Smarandache curves of a given curve according to Frenet frame, and the generator (ruling) is chosen to be the corresponding unit Darboux ...
Elif Çan +2 more
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Characterization of the Evolute Offset of Ruled Surfaces with B-Darboux Frame
Journal of New Theory, 2020 In this paper, we first introduce the evolute offset of non-cylindricalruled surfaces with B-Darboux frame in Euclidean 3-space. Then some geometricproperties of this evolute offset of non-cylindrical ruled surface are studied.
Gül Ugur Kaymanli
doaj
Affine hypersurfaces and superintegrable systems
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract It was recently shown that under mild assumptions, second‐order conformally superintegrable systems can be encoded in a (0,3)‐tensor, called structure tensor. For abundant systems, this approach led to algebraic integrability conditions that essentially allow one to restore a system from the knowledge of its structure tensor in a point on the ...
Vicente Cortés, Andreas Vollmer
wiley +1 more source