The spinor representations of framed Bertrand curves-Reference-Cited by-同舟云学术

The spinor representations of framed Bertrand curves

Published:2023 Issue:9 Volume:37 Page:2831-2843
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

İşbilir Zehra¹,Yazıcı Bahar²,Tosun Murat³

Affiliation:

1. Department of Mathematics, Faculty of Art and Science, Düzce University, Düzce, Turkey

2. Department of Mathematics, Faculty of Science, Bilecik Şeyh Edebali University, Bilecik, Turkey

3. Department of Mathematics, Faculty of Science, Sakarya University, Sakarya, Turkey

Abstract

In this study, we intend to examine the framed Bertrand curves in three-dimensional Euclidean space E3 by using the spinors, which have a fundamental place and importance in different disciplines from mathematics to physics. For this purpose, we investigate the spinor representations of framed Bertrand mates in E3. Additionally, we present some geometric results and interpretations. Then, we construct numerical examples with illustrative figures in order to support the given materials.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference29 articles.

1. Y. Balcı, T. Erişir, M. A. Güngör, Hyperbolic spinor Darboux equations of spacelike curves in Minkowski 3-space, J. Chungcheong Math. Soc. 28 (2015) 525-535.

2. J.M. Bertrand, Mémoire sur la théorie des courbes à double courbure, J. Math. Pures Appl. 36 (1850) 332-350.

3. É. Cartan, The Theory of Spinors, Hermann, Paris, 1966 [Dover, New York (reprinted 1981)]).

4. G.F.T. del Castillo, 3-D Spinors, Spin-Weighted Functions and Their Applications (Vol. 32), Springer Science & Business Media, Boston, 2003.

5. G.F.T. del Castillo, G.S. Barrales, Spinor formulation of the differential geometry of curve, Rev. Colomb. de Mat. 38 (2004) 27-34.

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