On characterization of spacelike dual biharmonic curves in dual Lorentzian Heisenberg group DHeis33

被引：0

作者：

Korpinar, T. ^{[1
]}

Turhan, E. ^{[2
]}

Asil, V. ^{[2
]}

机构：

[1] Mus Alparslan Univ, Dept Math, TR-49250 Mus, Turkey

[2] Firat Univ, Dept Math, TR-23119 Elazig, Turkey

来源：

IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE | 2013年 / 37卷 / A3期

关键词：

Bienergy; Biharmonic curve; helix; Heisenberg group; POSITION VECTOR; CANAL SURFACES; SLANT HELICES; BISHOP FRAME;

D O I：

暂无

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we study spacelike dual biharmonic curves. We characterize spacelike dual biharmonic curves in terms of their curvature and torsion in the Lorentzian dual Heisenberg group D-Heis3(3). We give necessary and sufficient conditions for spacelike dual biharmonic curves in the Lorentzian dual Heisenberg group D-Heis3(3). Therefore, we prove that all spacelike dual biharmonic curves are spacelike dual helix. Moreover, we give their explicit parametrizations of spacelike dual biharmonic curves. Finally, we illustrate our main results in Figs. 1 and 2.

引用

页码：403 / 410

页数：8

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