INEXTENSIBLE FLOW OF A SEMI-REAL QUATERNIONIC CURVE IN SEMI-EUCLIDEAN SPACE

Year 2018, Volume: 67 Issue: 1, 323 - 332, 01.02.2018

Funda Yıldız A. Zeki Okuyucu O. Gökmen Yıldız Ö.

https://doi.org/10.1501/Commua1_0000000854

Cited By: 1

Abstract

In this paper, we investigate a general formulation for inextensible*ows of semi-real quaternionic curve in R2. We obtain necessary and su¢ cientconditions for inextensible *ow of semi-real quaternionic curves. Moreover, wegive the evolution equation of curvatures as a partial diğerential equation

Keywords

Curvature *ows, inextensible, semi real quaternionic curve, semiEuclidean space

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• Current address : A. Funda Yıldız: Bilecik ¸Seyh Edebali University, Faculty of Science and Arts, Department of Mathematics, Bilecik, Turkey. E-mail address : [e-mail] ORCID: http://orcid.org/0000-0002-7371-2362
• Current address : O. Zeki Okuyucu: Bilecik ¸Seyh Edebali University, Faculty of Science and Arts, Department of Mathematics, Bilecik, Turkey. E-mail address : [e-mail] ORCID: http://orcid.org/0000-0003-4379-0252
• Current address : Ö. Gökmen Yıldız: Bilecik ¸Seyh Edebali University, Faculty of Science and Arts, Department of Mathematics, Bilecik, Turkey. E-mail address : [e-mail] ORCID: http://orcid.org/0000-0002-2760-1223