Results 21 to 30 of about 252 (177)

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, Rashad A. Abdel-Baky, Monia Naghi   +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, GÖK, İsmail, EKMEKCİ, Nejat, YAYLI, Yusuf   +3 more
openaire   +4 more sources

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
openaire   +5 more sources

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
doaj   +1 more source

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
doaj   +1 more source

Simultaneous Developability of Partner Ruled Surfaces according to Darboux Frame in E3

Abstract and Applied Analysis, 2021
In this paper, we introduce original definitions of Partner ruled surfaces according to the Darboux frame of a curve lying on an arbitrary regular surface in E3.
Soukaina Ouarab
doaj   +1 more source

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, Davut Canlı, Süleyman Şenyurt   +2 more
doaj   +1 more source

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  

On Geometric Phase Model in the Theory of Curves With Myller Configuration

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we introduce a linearly polarized light wave in an optical fiber and rotation of the polarization plane through the Frenet‐type frame with Myller configuration. Since the geometric evaluation and interpretations of a polarized light wave are associated with geometric phase, a new type of geometric phase model has been ...
Zehra İşbilir, Bahar Doğan Yazıcı, Murat Tosun   +2 more
wiley   +1 more source