Araştırma Makalesi
BibTex RIS Kaynak Göster

Some Null Quaternionic Curves in Minkowski spaces

Yıl 2018, , 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, , 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

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.