BibTex RIS Kaynak Göster

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

Yıl 2018, Cilt: 67 Sayı: 1, 323 - 332, 01.02.2018
https://doi.org/10.1501/Commua1_0000000854

Öz

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

Kaynakça

  • 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.
  • 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.
  • Kwon, D. Y. and F.C. Park, “Evolution of inelastic plane curves,” Applied Mathematics Letters, vol. 12, no. 6, pp. 115-119, 1999.
  • 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.
  • 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.
  • 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.
  • 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.
  • Gungor M. A. and M. Tosun, “Some characterizations of quaternionic rectifying curves,” Diğ erential Geom.-Dynamical Systems, vol. 13, pp. 89–100, 2011.
  • 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.
  • 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.
  • 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.
  • Körpınar T. and S. Ba¸s “Characterization of Quaternionic Curves by Inextenaible Flows,” Prespacetime Journal, vol. 7, no. 12, pp. 1680-1684, 2016.
  • 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
Yıl 2018, Cilt: 67 Sayı: 1, 323 - 332, 01.02.2018
https://doi.org/10.1501/Commua1_0000000854

Öz

Kaynakça

  • 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.
  • 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.
  • Kwon, D. Y. and F.C. Park, “Evolution of inelastic plane curves,” Applied Mathematics Letters, vol. 12, no. 6, pp. 115-119, 1999.
  • 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.
  • 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.
  • 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.
  • 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.
  • Gungor M. A. and M. Tosun, “Some characterizations of quaternionic rectifying curves,” Diğ erential Geom.-Dynamical Systems, vol. 13, pp. 89–100, 2011.
  • 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.
  • 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.
  • 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.
  • Körpınar T. and S. Ba¸s “Characterization of Quaternionic Curves by Inextenaible Flows,” Prespacetime Journal, vol. 7, no. 12, pp. 1680-1684, 2016.
  • 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
Toplam 15 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Research Article
Yazarlar

Funda Yıldız A. Bu kişi benim

Zeki Okuyucu O. Bu kişi benim

Gökmen Yıldız Ö. Bu kişi benim

Yayımlanma Tarihi 1 Şubat 2018
Yayımlandığı Sayı Yıl 2018 Cilt: 67 Sayı: 1

Kaynak Göster

APA Yıldız A., F., Okuyucu O., Z., & Yıldız Ö., G. (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, 67(1), 323-332. https://doi.org/10.1501/Commua1_0000000854
AMA Yıldız A. F, Okuyucu O. Z, Yıldız Ö. G. INEXTENSIBLE FLOW OF A SEMI-REAL QUATERNIONIC CURVE IN SEMI-EUCLIDEAN SPACE. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. Şubat 2018;67(1):323-332. doi:10.1501/Commua1_0000000854
Chicago Yıldız A., Funda, Zeki Okuyucu O., ve Gökmen Yıldız Ö. “INEXTENSIBLE FLOW OF A SEMI-REAL QUATERNIONIC CURVE IN SEMI-EUCLIDEAN SPACE”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 67, sy. 1 (Şubat 2018): 323-32. https://doi.org/10.1501/Commua1_0000000854.
EndNote Yıldız A. F, Okuyucu O. Z, Yıldız Ö. G (01 Şubat 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 67 1 323–332.
IEEE F. Yıldız A., Z. Okuyucu O., ve G. Yıldız Ö., “INEXTENSIBLE FLOW OF A SEMI-REAL QUATERNIONIC CURVE IN SEMI-EUCLIDEAN SPACE”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., c. 67, sy. 1, ss. 323–332, 2018, doi: 10.1501/Commua1_0000000854.
ISNAD Yıldız A., Funda vd. “INEXTENSIBLE FLOW OF A SEMI-REAL QUATERNIONIC CURVE IN SEMI-EUCLIDEAN SPACE”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 67/1 (Şubat 2018), 323-332. https://doi.org/10.1501/Commua1_0000000854.
JAMA Yıldız A. F, Okuyucu O. Z, Yıldız Ö. G. INEXTENSIBLE FLOW OF A SEMI-REAL QUATERNIONIC CURVE IN SEMI-EUCLIDEAN SPACE. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2018;67:323–332.
MLA Yıldız A., Funda vd. “INEXTENSIBLE FLOW OF A SEMI-REAL QUATERNIONIC CURVE IN SEMI-EUCLIDEAN SPACE”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, c. 67, sy. 1, 2018, ss. 323-32, doi:10.1501/Commua1_0000000854.
Vancouver Yıldız A. F, Okuyucu O. Z, Yıldız Ö. G. INEXTENSIBLE FLOW OF A SEMI-REAL QUATERNIONIC CURVE IN SEMI-EUCLIDEAN SPACE. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2018;67(1):323-32.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

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