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Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 67 Issue: 1

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

Funda Yıldız A.(Ankara University)
Zeki Okuyucu O.(Ankara University)
Gökmen Yıldız Ö.(Ankara University)
Sayfa
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Yayın Tarihi
2018-02-01
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Moreover, wegive the evolution equation of curvatures as a partial diğerential equation

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we investigate a general formulation for inextensible*ows of semi-real quaternionic curve in R2.
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Temel Bulgular & Veri:We obtain necessary and su¢ cientconditions for inextensible *ow of semi-real quaternionic curves.
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Sonuç & Katkı:Moreover, wegive the evolution equation of curvatures as a partial diğerential equation
🔬Tür:Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Curvature *ows · inextensible · semi real quaternionic curve

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

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Bu Makaleye Atıf Yap

A., F. Y., O., Z. O., Ö., G. Y. (2018). INEXTENSIBLE FLOW OF A SEMI-REAL QUATERNIONIC CURVE IN SEMI-EUCLIDEAN SPACE. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 67 Issue: 1. https://doi.org/10.1501/Commua1_0000000854

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Kaynakça (19)

  1. Çöken A. C. and A. Tuna, “On the quaternionic inclined curves in the semi-Euclidean space E4,” Applied mathematics and computation, vol. 155, no. 2, pp. 373–389, 2004.,” Applied mathematics and computation, vol. 155, no. 2, pp. 373–389, 2004.
  2. Tuna, A., “Serret Frenet formulae for quaternionic curves in semi Euclidean space,” Master Thesis, Süleyman Demirel University, Graduate School of Natural and Applied Science, Department of Mathematics, Isparta, Turkey, 2002.
  3. Kwon, D. Y. and F.C. Park, “Evolution of inelastic plane curves,” Applied Mathematics Letters, vol. 12, no. 6, pp. 115-119, 1999.
  4. Kwon, D. Y. and F. C. Park and D. P. Chi, “Inextensible *ows of curves and developable surfaces,” Applied Mathematics Letters, vol. 18, no. 10, pp. 1156–1162, 2005.
  5. Kahraman, F., ·I. Gök and H. H. Hacisaliho¼glu, “On the quaternionic B2slant helices in the semi-Euclidean space,” Applied Mathematics and Computation, vol. 218, no. 11, pp. –6400, 2012.
  6. Gök, ·I. and O. Z. Okuyucu F. Kahraman and H. H. Hacisaliho¼glu, “On the quaternionic B2-slant helices in the Euclidean space E4,” Advances in Applied Cliğ ord Algebras, vol. 21, no. 4, pp. 707–719, 2011.
  7. Bharathi K. and M. Nagaraj, “Quaternion valued function of a real variable Serret-Frenet formula,”Indian Journal of Pure and Applied Mathematics, vol. 18, no. 6, pp. 507–511, 1987.
  8. Gungor M. A. and M. Tosun, “Some characterizations of quaternionic rectifying curves,” Diğ erential Geom.-Dynamical Systems, vol. 13, pp. 89–100, 2011.
  9. Yıldız, Ö. G., S. Ersoy and M. Masal, “A note on inextensible *ows of curves on oriented surface,” Cubo (Temuco), vol. 16, no. 3, pp. 11–19, 2014.
  10. Yıldız Ö. G. and O. Z. Okuyucu, “Inextensible Flows of Curves in Lie Groups,” Caspian Journal of Mathematical Sciences, vol. 2, no. 1, pp. 23–32, 2014.
  11. Yıldız Ö. G. and S. Ö. Karakus, “On the Quaternionic Normal Curves in the Semi-Euclidean SpaceE4,” Mathematical Combinatorics, vol. 3, pp. 68–76, 2016.
  12. Körpınar T. and S. Ba¸s “Characterization of Quaternionic Curves by Inextenaible Flows,” Prespacetime Journal, vol. 7, no. 12, pp. 1680-1684, 2016.
  13. Current address: A. Funda Yıldız: Bilecik ¸Seyh Edebali University, Faculty of Science and Arts, Department of Mathematics, Bilecik, Turkey. E-mail address: [email protected] ORCID: http://orcid.org/0000-0002-7371-2362
  14. Current address: O. Zeki Okuyucu: Bilecik ¸Seyh Edebali University, Faculty of Science and Arts, Department of Mathematics, Bilecik, Turkey. E-mail address: [email protected] ORCID: http://orcid.org/0000-0003-4379-0252
  15. Current address: Ö. Gökmen Yıldız: Bilecik ¸Seyh Edebali University, Faculty of Science and Arts, Department of Mathematics, Bilecik, Turkey. E-mail address: [email protected] ORCID: http://orcid.org/0000-0002-2760-1223
  16. Çöken A. C. and A. Tuna, “On the quaternionic inclined curves in the semi-Euclidean space E4,” Applied mathematics and computation, vol. 155, no. 2, pp. 373–389, 2004.,” Applied mathematics and computation, vol. 155, no. 2, pp. 373–389, 2004.
  17. Current address: A. Funda Yıldız: Bilecik ¸Seyh Edebali University, Faculty of Science and Arts, Department of Mathematics, Bilecik, Turkey. E-mail address: [email protected] ORCID: http://orcid.org/0000-0002-7371-2362
  18. Current address: O. Zeki Okuyucu: Bilecik ¸Seyh Edebali University, Faculty of Science and Arts, Department of Mathematics, Bilecik, Turkey. E-mail address: [email protected] ORCID: http://orcid.org/0000-0003-4379-0252
  19. Current address: Ö. Gökmen Yıldız: Bilecik ¸Seyh Edebali University, Faculty of Science and Arts, Department of Mathematics, Bilecik, Turkey. E-mail address: [email protected] ORCID: http://orcid.org/0000-0002-2760-1223