Yıl 2019, Cilt , Sayı 16, Sayfalar 125 - 130 2019-08-31

Null Quaternionic Bertrand Curves in Semi Euclidean 4-Space R_2^4

Abide Tuna Aksoy [1]



In this study, we define null quaternionic Bertrand curves in semi Euclidean spaces ℝ₂⁴. We also obtain a characterization for null quaternionic Bertrand curves.


Bertrand curves, null quaternionic curve
  • Bejancu, A. 1994. Lightlike curves in Lorentz manifolds, Publ. Math. Debrecen 44, 145—155.Bharathi K., Nagaraj M. 1987. Quaternion valued function of a real variable Serret-Frenet formulae, Indian Journal Pure Applied Mathematics 18(6), 507-511. Bonnor W. B. 1969. Null curves in a Minkowski space-time, Tensor N.S. 20, 229-242.Çöken A. C. and Tuna A. 2004. On the quaternionic inclined curves in the semi- Euclidean space E₂⁴, Applied Mathematics and Computation 155, 373-389.Duggal K. L.,and Jin D.H. 2007. Null Curves and Hypersurfaces of Semi-Riemannian Manifolds, Copyriht C 2007 by World Scientific Publishing Co. Pte. Ltd. Fernandez A.,Gimenez A., and Lucas P. 2001. Degenerate curves in pseudo-Euclidean spaces of index two, Proc. 3rd Internat. Conf. on Geometry, Integrability and Quantization,Varna, Bulgaria, June 14--23, 209—223.Gök İ. and Aksoyak F. 2013. Characterizations of the Quaternionic Bertrand Curve in Euclidean Space E⁴,arXiv:1302.2809v2 Keçilioğlu O. and Ilarslan K. 2013. Quaternionic Bertrand Curve in Euclidean Space E⁴, Bulletin of Mathematical Analysis & Applications. Matsuda H., Yorozu S. 2003. Notes on Bertrand curves, Yokohama Math. J., 50, 41—58. Tuna Aksoy A.and Çöken A. C. Serret-Frenet Formulae For Null Quaternionic Curves in Semi Euclidean 4-Space ℝ₂⁴, submitted. Tuna Aksoy A.,2016. Null quaternionic Bertrand curves in Minkowski Space R_1^4 , Acta Phys Pol A 130(1): 256—258. Tuna Aksoy A. and Çöken A.C. 2017. Null Quaternionic Cartan Helices in R_ʋ^3, Acta Phys Pol A , 132(3-II): 896-899 Uçum A., İlarslan K. and Sakaki M. 2016. On (1, 3)-Cartan null Bertrand curves in semi-Euclidean 4-space with index 2, Journal of Geom. 107, 579—591.
Birincil Dil en
Konular Mühendislik
Bölüm Makaleler
Yazarlar

Orcid: 0000-0001-7229-603X
Yazar: Abide Tuna Aksoy (Sorumlu Yazar)
Kurum: SÜLEYMAN DEMİREL ÜNİVERSİTESİ
Ülke: Turkey


Tarihler

Yayımlanma Tarihi : 31 Ağustos 2019

Bibtex @araştırma makalesi { ejosat539925, journal = {Avrupa Bilim ve Teknoloji Dergisi}, issn = {}, eissn = {2148-2683}, address = {}, publisher = {Osman SAĞDIÇ}, year = {2019}, volume = {}, pages = {125 - 130}, doi = {10.31590/ejosat.539925}, title = {Null Quaternionic Bertrand Curves in Semi Euclidean 4-Space R\_2\^4}, key = {cite}, author = {Tuna Aksoy, Abide} }
APA Tuna Aksoy, A . (2019). Null Quaternionic Bertrand Curves in Semi Euclidean 4-Space R_2^4. Avrupa Bilim ve Teknoloji Dergisi , (16) , 125-130 . DOI: 10.31590/ejosat.539925
MLA Tuna Aksoy, A . "Null Quaternionic Bertrand Curves in Semi Euclidean 4-Space R_2^4". Avrupa Bilim ve Teknoloji Dergisi (2019 ): 125-130 <https://dergipark.org.tr/tr/pub/ejosat/issue/45333/539925>
Chicago Tuna Aksoy, A . "Null Quaternionic Bertrand Curves in Semi Euclidean 4-Space R_2^4". Avrupa Bilim ve Teknoloji Dergisi (2019 ): 125-130
RIS TY - JOUR T1 - Null Quaternionic Bertrand Curves in Semi Euclidean 4-Space R_2^4 AU - Abide Tuna Aksoy Y1 - 2019 PY - 2019 N1 - doi: 10.31590/ejosat.539925 DO - 10.31590/ejosat.539925 T2 - Avrupa Bilim ve Teknoloji Dergisi JF - Journal JO - JOR SP - 125 EP - 130 VL - IS - 16 SN - -2148-2683 M3 - doi: 10.31590/ejosat.539925 UR - https://doi.org/10.31590/ejosat.539925 Y2 - 2019 ER -
EndNote %0 Avrupa Bilim ve Teknoloji Dergisi Null Quaternionic Bertrand Curves in Semi Euclidean 4-Space R_2^4 %A Abide Tuna Aksoy %T Null Quaternionic Bertrand Curves in Semi Euclidean 4-Space R_2^4 %D 2019 %J Avrupa Bilim ve Teknoloji Dergisi %P -2148-2683 %V %N 16 %R doi: 10.31590/ejosat.539925 %U 10.31590/ejosat.539925
ISNAD Tuna Aksoy, Abide . "Null Quaternionic Bertrand Curves in Semi Euclidean 4-Space R_2^4". Avrupa Bilim ve Teknoloji Dergisi / 16 (Ağustos 2019): 125-130 . https://doi.org/10.31590/ejosat.539925
AMA Tuna Aksoy A . Null Quaternionic Bertrand Curves in Semi Euclidean 4-Space R_2^4. Avrupa Bilim ve Teknoloji Dergisi. 2019; (16): 125-130.
Vancouver Tuna Aksoy A . Null Quaternionic Bertrand Curves in Semi Euclidean 4-Space R_2^4. Avrupa Bilim ve Teknoloji Dergisi. 2019; (16): 130-125.