Characterize on the Heisenberg group with left invariant Lorentzian metric

• Autorzy: Turhan T. , Korpinar T.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Heisenberg group; Lorentz metric; geodesic

PL

grupa Heisenberga; metryka Lorentza; geodetyka

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2009
• Tom: Vol. 42, nr 2
• Strony: 423--428
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Turhan T.

autor

Korpinar T.

• Firat University Department of Mathematics 23119, Elazig, Turkey,

Bibliografia

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• [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.