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Some Null Quaternionic Curves in Minkowski spaces

Yıl 2018, Cilt: 14 Sayı: 4, 357 - 361, 28.12.2018
https://doi.org/10.18466/cbayarfbe.376273

Öz

In
this work, we examine null quaternionic rectifying curves and null quaternionic
similar curves in Minkowski space E1^3
. Also, we defined null quaternionic (1,3)-Bertrand partner
curves in E1^4
. Thus, we have characterizations between curvatures of these
curves in Minkowski spaces.

Kaynakça

  • 1. Bharathi, K., Nagaraj, M., Quaternion valued function of a real variable Serret-Frenet formula, Indian Journal of Pure and Applied Mathematic, 1987, 18, 6, 507-511.
  • 2. Cambie, S., Goemans, W., Van Den Bussche, I., Rectifying curves in the n-dimensional Euclidean space, Turkish Journal of Mathematics, 2016, 40, 210-223.
  • 3. Chen, B., When Does the Position Vector of a Space Curve Always Lie in Its Rectifying Plane? American Mathematical Monthly, 2003, 110, 2, 147-152.
  • 4. Chen, B., Dillen, F., Rectifying Curves as Centrodes and Extremal Curves, Bulletin of the Instıtute of Mathematics Academia Sinica, 2005, 33, 2, 77-90.
  • 5. Çöken, A.C., Tuna, A., On the quaternionic inclined curves in the Semi-Euclidean space , Applied Mathematics and Computation, 2004, 155, 373-389.
  • 6. Çöken, A.C., Tuna, A., Null Quaternionic Curves in Semi-Euclidean 3-Space of Index v, Acta Physica Polonica A, 2015, 128, 2-B, 286-289.
  • 7. Çöken, A.C., Tuna, A., Serret–Frenet Formulae for Null Quaternionic Curves in Semi Euclidean 4-Space , Acta Physica Polonica A, 2015, 128, 2-B, 293-296.
  • 8. El-Sabbagh, M.F., Ali, A.T., Similar Curves with Variable Transformations, Konuralp Journal of Mathematics, 2013, 1, 2, 80–90.
  • 9. Grbovic, M., Nesovic, E., Some relations between rectifying and normal curves in Minkowski 3-space, Mathematical Communications, 2012, 17, 655-664.
  • 10. Hacisalihoglu, H.H., Hareket Geometrisi ve Kuaterniyonlar Teorisi, Gazi Üniversitesi, Fen-Edebiyat Fakültesi Yayınları Mat. 1983 No: 2.
  • 11. İlarslan, K., Nesovic, E., Petrovic-Torgasev, M., Some Characterizations of Rectifying Curves in the Minkowski 3–Space, Novi Sad Journal of Mathematics, 2003, 33, 2, 23–32.
  • 12. Keçilioğlu, O., İlarslan, K., Quaternionic Bertrand Curves in Euclidean 4-Space, Bulletin of Mathematical Analysis and Applications, 2013, 5, 3, 27-38.
  • 13. Önder, M., Quaternionic Salkowski Curves and Similar Curves, arXiv:1205.1368 [math.DG].
  • 14. Soyfidan, T., Güngör, M., Some Characterizations of Quaternionic Rectifying Curves in the Semi-Euclidean Space, Honam Mathematical J. (2016) 36(1) 067-083.
  • 15. Yücesan, A., Ayyıldız, N., at al., On Rectifying Dual Space Curves, Revista Matem´atica Complutense, 2007, 20, 2, 497–506.
  • 16. Ward, J.P., Quaternions and Cayley Numbers, Kluwer Academic Publishers, Boston/London, 1997.
Yıl 2018, Cilt: 14 Sayı: 4, 357 - 361, 28.12.2018
https://doi.org/10.18466/cbayarfbe.376273

Öz

Kaynakça

  • 1. Bharathi, K., Nagaraj, M., Quaternion valued function of a real variable Serret-Frenet formula, Indian Journal of Pure and Applied Mathematic, 1987, 18, 6, 507-511.
  • 2. Cambie, S., Goemans, W., Van Den Bussche, I., Rectifying curves in the n-dimensional Euclidean space, Turkish Journal of Mathematics, 2016, 40, 210-223.
  • 3. Chen, B., When Does the Position Vector of a Space Curve Always Lie in Its Rectifying Plane? American Mathematical Monthly, 2003, 110, 2, 147-152.
  • 4. Chen, B., Dillen, F., Rectifying Curves as Centrodes and Extremal Curves, Bulletin of the Instıtute of Mathematics Academia Sinica, 2005, 33, 2, 77-90.
  • 5. Çöken, A.C., Tuna, A., On the quaternionic inclined curves in the Semi-Euclidean space , Applied Mathematics and Computation, 2004, 155, 373-389.
  • 6. Çöken, A.C., Tuna, A., Null Quaternionic Curves in Semi-Euclidean 3-Space of Index v, Acta Physica Polonica A, 2015, 128, 2-B, 286-289.
  • 7. Çöken, A.C., Tuna, A., Serret–Frenet Formulae for Null Quaternionic Curves in Semi Euclidean 4-Space , Acta Physica Polonica A, 2015, 128, 2-B, 293-296.
  • 8. El-Sabbagh, M.F., Ali, A.T., Similar Curves with Variable Transformations, Konuralp Journal of Mathematics, 2013, 1, 2, 80–90.
  • 9. Grbovic, M., Nesovic, E., Some relations between rectifying and normal curves in Minkowski 3-space, Mathematical Communications, 2012, 17, 655-664.
  • 10. Hacisalihoglu, H.H., Hareket Geometrisi ve Kuaterniyonlar Teorisi, Gazi Üniversitesi, Fen-Edebiyat Fakültesi Yayınları Mat. 1983 No: 2.
  • 11. İlarslan, K., Nesovic, E., Petrovic-Torgasev, M., Some Characterizations of Rectifying Curves in the Minkowski 3–Space, Novi Sad Journal of Mathematics, 2003, 33, 2, 23–32.
  • 12. Keçilioğlu, O., İlarslan, K., Quaternionic Bertrand Curves in Euclidean 4-Space, Bulletin of Mathematical Analysis and Applications, 2013, 5, 3, 27-38.
  • 13. Önder, M., Quaternionic Salkowski Curves and Similar Curves, arXiv:1205.1368 [math.DG].
  • 14. Soyfidan, T., Güngör, M., Some Characterizations of Quaternionic Rectifying Curves in the Semi-Euclidean Space, Honam Mathematical J. (2016) 36(1) 067-083.
  • 15. Yücesan, A., Ayyıldız, N., at al., On Rectifying Dual Space Curves, Revista Matem´atica Complutense, 2007, 20, 2, 497–506.
  • 16. Ward, J.P., Quaternions and Cayley Numbers, Kluwer Academic Publishers, Boston/London, 1997.
Toplam 16 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Makaleler
Yazarlar

Tanju Kahraman

Yayımlanma Tarihi 28 Aralık 2018
Yayımlandığı Sayı Yıl 2018 Cilt: 14 Sayı: 4

Kaynak Göster

APA Kahraman, T. (2018). Some Null Quaternionic Curves in Minkowski spaces. Celal Bayar Üniversitesi Fen Bilimleri Dergisi, 14(4), 357-361. https://doi.org/10.18466/cbayarfbe.376273
AMA Kahraman T. Some Null Quaternionic Curves in Minkowski spaces. CBUJOS. Aralık 2018;14(4):357-361. doi:10.18466/cbayarfbe.376273
Chicago Kahraman, Tanju. “Some Null Quaternionic Curves in Minkowski Spaces”. Celal Bayar Üniversitesi Fen Bilimleri Dergisi 14, sy. 4 (Aralık 2018): 357-61. https://doi.org/10.18466/cbayarfbe.376273.
EndNote Kahraman T (01 Aralık 2018) Some Null Quaternionic Curves in Minkowski spaces. Celal Bayar Üniversitesi Fen Bilimleri Dergisi 14 4 357–361.
IEEE T. Kahraman, “Some Null Quaternionic Curves in Minkowski spaces”, CBUJOS, c. 14, sy. 4, ss. 357–361, 2018, doi: 10.18466/cbayarfbe.376273.
ISNAD Kahraman, Tanju. “Some Null Quaternionic Curves in Minkowski Spaces”. Celal Bayar Üniversitesi Fen Bilimleri Dergisi 14/4 (Aralık 2018), 357-361. https://doi.org/10.18466/cbayarfbe.376273.
JAMA Kahraman T. Some Null Quaternionic Curves in Minkowski spaces. CBUJOS. 2018;14:357–361.
MLA Kahraman, Tanju. “Some Null Quaternionic Curves in Minkowski Spaces”. Celal Bayar Üniversitesi Fen Bilimleri Dergisi, c. 14, sy. 4, 2018, ss. 357-61, doi:10.18466/cbayarfbe.376273.
Vancouver Kahraman T. Some Null Quaternionic Curves in Minkowski spaces. CBUJOS. 2018;14(4):357-61.