Bertrand mate of timelike biharmonic Legendre curves in Lorentzian Heisenberg group Heis 3

Demonstratio mathematica

article

Essin Turhan¹  Talat Körpinar¹ 

[1] Fırat University, Department of Mathematics

关键词: Legendre curve;    biharmonic curve;    position vector;    Heisenberg group;   

DOI  :  10.1515/dema-2013-0316

学科分类：外科医学

来源: De Gruyter

【 摘 要 】

In this paper, we study Bertrand mate of timelike biharmonic Legendre curves in the Lorentzian Heisenberg group Heis 3 . We characterize timelike biharmonic Legendre curves in terms of their curvature and torsion. Moreover, we obtain the position vectors of timelike biharmonic Legendre curves and we construct parametric equations of Bertrand mate of timelike biharmonic Legendre curves in the Lorentzian Heisenberg group Heis 3 .

【 授权许可】

CC BY