[[1] A. Bornik, B. Reitinger, R. Beichel, Simplex-Mesh based Surface Reconstruction and Representation of Tubular Structures, in Proceedings of BVM2005, Springer, (2005). ]Search in Google Scholar
[[2] A.V. B¨acklund, Einiges ¨uber Curven- und Fl¨achen-Transformationen, Lunds Univ. Arsskr. 10 (1874), 1-12. ]Search in Google Scholar
[[3] R. Caddeo, C. Oniciuc, P. Piu, Explicit formulas for non-geodesic biharmonic curves of the Heisenberg group, Rend. Sem. Mat. Univ. Politec. Torino 62 (3) (2004), 265-277. ]Search in Google Scholar
[[4] R. Caddeo, S. Montaldo, C. Oniciuc, Biharmonic submanifolds in spheres, Israel J. Math. 130 (2002), 109-123. 10.1007/BF02764073]Search in Google Scholar
[[5] R. Caddeo, S. Montaldo, P. Piu, Biharmonic curves on a surface, Rend. Mat. Appl. 21 (2001), 143-157. ]Search in Google Scholar
[[6] J. Eells, J.H. Sampson, Harmonic mappings of Riemannian manifolds, Amer. J. Math. 86 (1964), 109-160. 10.2307/2373037]Search in Google Scholar
[[7] A. Gray, Modern Differential Geometry of Curves and Surfaces with Mathematica, CRC Press, 1998 ]Search in Google Scholar
[[8] J. Happel, H. Brenner, Low Reynolds Number Hydrodynamics with Special Applications to Particulate Media, Prentice-Hall, New Jersey, (1965) ]Search in Google Scholar
[[9] J. Inoguchi, Submanifolds with harmonic mean curvature in contact 3- manifolds, Colloq. Math. 100 (2004), 163-179. 10.4064/cm100-2-2]Search in Google Scholar
[[10] G.Y. Jiang, 2-harmonic maps and their first and second variation formulas, Chinese Ann. Math. Ser. A 7 (1986), 389-402. ]Search in Google Scholar
[[11] T. K¨orpınar, E. Turhan, On Horizontal Biharmonic Curves In The Heisenberg Group Heis3, Arab. J. Sci. Eng. Sect. A Sci. 35 (1) (2010), 79-85. ]Search in Google Scholar
[[12] G. Landsmann, J. Schicho, F. Winkler, The Parametrization of Canal Surfaces and the Decomposition of Polynomials into a Sum of Two Squares, J. Symb. Comput. 32(1/2)(2001), 119-132. 10.1006/jsco.2001.0453]Search in Google Scholar
[[13] W. E. Langlois, Slow Viscous Flow, Macmillan, New York, Collier- Macmillan, London, 1964. ]Search in Google Scholar
[[14] V.B. Matveev , Salle M.A., Darboux transformations and solitons, Springer Series in Nonlinear Dynamics, Springer, Berlin, 1991. 10.1007/978-3-662-00922-2]Search in Google Scholar
[[15] A. V. Mikhaılov, A. B. Shabat, V. V. Sokolov, The symmetry approach to classification of integrable equations. What Is Integrability? Springer Series on Nonlinear Dynamics, Springer-Verlag, Berlin (1991), 115-184. 10.1007/978-3-642-88703-1_4]Search in Google Scholar
[[16] C. Oniciuc, On the second variation formula for biharmonic maps to a sphere, Publ. Math. Debrecen 61 (2002), 613-622. ]Search in Google Scholar
[[17] Y. L. Ou, p-Harmonic morphisms, biharmonic morphisms, and nonharmonic biharmonic maps , J. Geom. Phys. 56 (2006), 358-374. 10.1016/j.geomphys.2005.02.005]Search in Google Scholar
[[18] S. Rahmani, Metriqus de Lorentz sur les groupes de Lie unimodulaires, de dimension trois, Journal of Geometry and Physics 9 (1992), 295-302. 10.1016/0393-0440(92)90033-W]Search in Google Scholar
[[19] T. Sasahara, Legendre surfaces in Sasakian space forms whose mean curvature vectors are eigenvectors, Publ. Math. Debrecen 67 (2005), 285-303. ]Search in Google Scholar
[[20] J. Schicho, Proper Parametrization of Real Tubular Surfaces, J. Symb. Comput. 30(5) (2000), 583-593. 10.1006/jsco.2000.0393]Search in Google Scholar
[[21] E. Turhan, T. K¨orpınar, Position vector of spacelike biharmonic curves in the Lorentzian Heisenberg group Heis3, An. St. Univ. Ovidius Constanta 19 (1) (2011), 285-296. 10.2478/v10309-012-0029-0]Search in Google Scholar
[[22] E. Turhan, T. K¨orpınar, Characterize on the Heisenberg Group with left invariant Lorentzian metric, Demonstratio Mathematica 42 (2) (2009), 423-428. 10.1515/dema-2009-0219]Search in Google Scholar
[[23] E. Turhan, T. K¨orpınar, On Characterization Of Timelike Horizontal Biharmonic Curves In The Lorentzian Heisenberg Group Heis3, Zeitschrift f¨ur Naturforschung A- A Journal of Physical Sciences 65a (2010), 641-648. 10.1515/zna-2010-8-904]Search in Google Scholar