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- Title
Position vectors of timelike biharmonic Legendre curves in the Lorentzian Heisenberg group Heis<sup>3</sup>.
- Authors
Turhan, Essin; Körpinar, Talat
- Abstract
In this paper, we study timelike biharmonic Legendre curves in the Lorentzian Heisenberg group H eis³. We characterize the biharmonic curves in terms of their curvature and torsion. We prove that all of timelike biharmonic curves are helices. Moreover, we obtain the position vectors of timelike biharmonic Legendre curves in the Lorentzian Heisenberg group H eis³. Also, by using the position vector, we give some characterizations for timelike biharmonic Legendre curves.
- Subjects
LEGENDRE'S functions; CURVATURE; BIHARMONIC equations; VECTOR fields; QUANTUM theory; TORSION products
- Publication
Differential Geometry - Dynamical Systems, 2010, p252
- ISSN
1454-511X
- Publication type
Article