Spinor Darboux equations of curves in Euclidean 3-space

Spinor Darboux equations of curves in Euclidean 3-space

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.

Bibliographic Details
Main Authors: Kisi Ilim, Tosun Murat
Format: Article
Language:English
Published: University of Kragujevac, Faculty of Technical Sciences Čačak, Serbia 2015-01-01
Series:Mathematica Moravica
Subjects:
Frenet equations
Darboux equations
spinors
Online Access:http://scindeks-clanci.ceon.rs/data/pdf/1450-5932/2015/1450-59321501087K.pdf
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spelling doaj-0dfb0c91af5f474d9cdf348e82b51f322020-11-24T23:52:57ZengUniversity of Kragujevac, Faculty of Technical Sciences Čačak, SerbiaMathematica Moravica1450-59322560-55422015-01-0119187931450-59321501087KSpinor Darboux equations of curves in Euclidean 3-spaceKisi Ilim0Tosun Murat1Faculty of Art and Sciences, Department of Mathematics, Kocaeli University, Kocaeli, TurkeyFaculty of Art and Sciences, Department of Mathematics, Sakarya University, Sakarya, TurkeyIn 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.http://scindeks-clanci.ceon.rs/data/pdf/1450-5932/2015/1450-59321501087K.pdfFrenet equationsDarboux equationsspinors
collection DOAJ
language English
format Article
sources DOAJ
author Kisi Ilim
Tosun Murat
spellingShingle Kisi Ilim
Tosun Murat
Spinor Darboux equations of curves in Euclidean 3-space
Mathematica Moravica
Frenet equations
Darboux equations
spinors
author_facet Kisi Ilim
Tosun Murat
author_sort Kisi Ilim
title Spinor Darboux equations of curves in Euclidean 3-space
title_short Spinor Darboux equations of curves in Euclidean 3-space
title_full Spinor Darboux equations of curves in Euclidean 3-space
title_fullStr Spinor Darboux equations of curves in Euclidean 3-space
title_full_unstemmed Spinor Darboux equations of curves in Euclidean 3-space
title_sort spinor darboux equations of curves in euclidean 3-space
publisher University of Kragujevac, Faculty of Technical Sciences Čačak, Serbia
series Mathematica Moravica
issn 1450-5932
2560-5542
publishDate 2015-01-01
description 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.
topic Frenet equations
Darboux equations
spinors
url http://scindeks-clanci.ceon.rs/data/pdf/1450-5932/2015/1450-59321501087K.pdf
work_keys_str_mv AT kisiilim spinordarbouxequationsofcurvesineuclidean3space
AT tosunmurat spinordarbouxequationsofcurvesineuclidean3space
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