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

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

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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 : ahufundataran@hotmail.com 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 : osman.okuyucu@bilecik.edu.tr 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 : ogokmen.yildiz@bilecik.edu.tr ORCID: http://orcid.org/0000-0002-2760-1223