Tubular Surfaces Around Timelike Biharmonic Curves in Lorentzian Heisenberg Group Heis3

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica

Turhan Essin¹  Körpinar Talat¹ 

[1] Fırat University, Department of Mathematics, 23119, Elazı˘g, TURKEY;

关键词: tubular surface,biharmonic curve;    heisenberg group;   

DOI  :  10.2478/v10309-012-0029-0

来源: DOAJ

【 摘 要 】

In this paper, we describe a new method for constructing a tubular surface surrounding a timelike biharmonic curve in the Lorentzian Heisenberg group Heis3. Firstly, we characterize timelike biharmonic curves in terms of their curvature and torsion. Also, by using timelike biharmonic curves, we give explicit parametrizations of tubular surfaces in the Lorentzian Heisenberg group Heis3.

【 授权许可】

Unknown