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Abstrakty
In this paper, we consider the biharmonicity conditions for maps between Riemannian manifolds and we characterize non-geodesic biharmonic curve in Heisenberg group H3 which is endowed with left invariant Lorentzian metric.
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Rocznik
Tom
Strony
423--428
Opis fizyczny
Bibliogr. 8 poz.
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autor
autor
- Firat University Department of Mathematics 23119, Elazig, Turkey, essin.turhan@gmail.com
Bibliografia
- [1] N. Rahmanı and S. Rahmanı, Lorentzian Geometry of the Heisenberg Group, Geometriae Dedicata 118 (2006), 133-140.
- [2] G. Y. Jiang, 2-Harmonic maps and their first and second variational formulas, Chin. Ann. Math. Ser. A 7 (1986), 389-402.
- [3] R. Caddeo, S. Montaldo, C. Oniciuc, P. Piu, The classfication of biharmonic curves of Cartan-Vranceanu 3-dimensional space, arXiv: math. DG/0510435 vl 20 Oct 2005.
- [4] R. Caddeo, C. Oniciuc, P. Piu, Explicit formual for non-geodesic biharmonic curves of the Heisenberg group, Rend. Sem. Mat. Univ. Politec. Torino 62 (2004), 265-278.
- [5] B. O’Neill, Semi-Riemannian Geometry, Academic Press, New York, 1983.
- [6] S. Izumiya, A. Takiyama, A time-like surface in Minkowski 3-space which contains pseudocircles, Proc. Edinburgh Math. Soc. (2) 40 (1997), 127-136.
- [7] G. Y. Jiang, 2-harmonic isometric immersions between Riemannian manifolds, Chinese Ann. Math. Ser. A 7 (1986), 130-144.
- [8] S. Rahmani, Métriques de Lorentz sur les groupes de Lie unimodulaires de dimension 3, J. Geom. Phys. 9 (1992), 295-302.
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Bibliografia
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bwmeta1.element.baztech-article-PWA5-0024-0018