Zobrazeno 1 - 10
of 24
pro vyhledávání: '"Tülay ERİŞİR"'
Autor:
Tülay Erişir
Publikováno v:
Journal of Mathematics, Vol 2024 (2024)
Spinors can be expressed as Lie algebra of infinitesimal rotations. Spinors are also defined as elements of a vector space which carries a linear representation of the Clifford algebra typically. The motivation for this study is to define a new and p
Externí odkaz:
https://doaj.org/article/cc9126244fd34c7bb454e4ab1e1db355
Publikováno v:
AIMS Mathematics, Vol 8, Iss 1, Pp 1345-1359 (2023)
In this study, the curve theory, which occupies a very important and wide place in differential geometry, has been studied. One of the most important known methods used to analyze a curve in differential geometry is the Frenet frame, which is a movin
Externí odkaz:
https://doaj.org/article/3bb233dc408d4428807531884f53f24b
Autor:
Hilal Köse Öztaş, Tülay Erişir
Publikováno v:
Universal Journal of Mathematics and Applications, Vol 5, Iss 1, Pp 32-41 (2022)
The aim of this study is to give spinor representation of successive curves in three-dimensional Euclidean space. In three dimensional Euclidean Space, the spinor representations of a curve with unit speed and a successor curve with the same arc leng
Externí odkaz:
https://doaj.org/article/4ad06c170e3447589a0e1bab6b9e6f26
Autor:
Tülay Erişir, Mehmet Ali Güngör
Publikováno v:
Asia Pacific Journal of Mathematics (2023)
Externí odkaz:
https://doaj.org/article/bbed4f52bdf54133b0667271364f0d42
Autor:
Tülay Erişir
Publikováno v:
AIMS Mathematics, Vol 6, Iss 4, Pp 3583-3591 (2021)
Spinors permeate all of modern physics and have also an important place in mathematics. Spinors are used intensively in modern theoretical physics and differential geometry. In this study, spinors are used for a different representation of differenti
Externí odkaz:
https://doaj.org/article/1ae96c18c05742719e7335ec6798ef01
Autor:
Tülay Erişir
Publikováno v:
Asia Pacific Journal of Mathematics (2022)
Externí odkaz:
https://doaj.org/article/0737615cc6e749e3b2e3a4577f3dc8d9
Autor:
Tülay Erişir
Publikováno v:
Advances in Mathematical Physics, Vol 2021 (2021)
In this study, the planar kinematics has been studied in a generalized complex plane which is a geometric representation of the generalized complex number system. Firstly, the planar kinematic formulas with one parameter for homothetic motions in the
Externí odkaz:
https://doaj.org/article/bbb77cf4bff94db5b1d2341570c3b452
Autor:
Tülay Erişir, Mehmet Ali Güngör
Publikováno v:
Universal Journal of Mathematics and Applications, Vol 1, Iss 4, Pp 239-243 (2018)
The generalized complex number system and generalized complex plane were studied by Yaglom [22], [23] and Harkin [7]. Moreover, Holditch-type theorem for linear points in $\mathbb{C}_{p}$ were given by Eri\c{s}ir et al. [6]. The aim of this paper is
Externí odkaz:
https://doaj.org/article/4a8c00e4dd504a2a8926c4e8bc7249fb
Autor:
Tülay ERİŞİR, Hilal KÖSE ÖZTAŞ
Publikováno v:
Volume: 5, Issue: 1 32-41
Universal Journal of Mathematics and Applications
Universal Journal of Mathematics and Applications
The aim of this study is to give spinor representation of successive curves in three-dimensional Euclidean space. In three dimensional Euclidean Space, the spinor representations of a curve with unit speed and a successor curve with the same arc leng
Autor:
Tülay ERİŞİR, Zeynep İSABEYOĞLU
Publikováno v:
International Electronic Journal of Geometry.
In this paper, the spinor formulations of Mannheim curve pair are investigated. First of all, two spinors matching to Mannheim curve pair are given and by considering the relationships between the Frenet frames of Mannheim curve pair, the relationshi