BIHARMONIC CURVES IN CONTACT GEOMETRY
BIHARMONIC CURVES IN CONTACT GEOMETRY
We study biharmonic curves in contact geometry whose mean curvature vector field is in the kernel of Laplacian. We give some results for biharmonic curves in Sasakian 3-space. We also give some characterizations for Legendre curves in the same space.
Keywords:
Biharmonic curve, geodesic, circular helix heneral helix, contactmanifold,
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- C. Baikoussis, D.E. Blair, On Legendre curves in contact 3-manifolds, Geom. Dedicata. 49(1994) 135-142.
- A. Bejancu, K.L. Duggal, Real hypersurfaces of inde…nite Kaehler manifolds, Internat. J. Math. Sci. 16 (1993) 545-556.
- M. Belkalfa, I.E. H{rica, R. Rosca, L. Verstraelen, On Legendre curves in Riemannian and Lorentzian Sasaki spaces, Soochow J. Math. 28 (2002) 81-91.
- D.E. Blair, Contact Manifolds in Riemannian Geometry, Lecture Notes in Math. Springer- Verlag. Vol. 509 (1976).
- B.Y. Chen, S. Ish{kawa, Biharmonic surface in pseudo-Euclidean spaces, Mem. Fac. Sci. Kyushu Univ. A 45 (1991) 323-347.
- K.L. Duggal, Space time manifolds and contact structures, Inetrnat. J. Math. Math. Sci. 13 (1990) 545-554.
- A. Ferrandez, P. Lucas, M.A. Merono, Biharmoic Hopf cylinders, Rocky Mountain J. Math. 28(3) (1998) 957-975.
- T. Ikawa, M. Erdoµgan, Sasakian manifolds with Lorentzian metric, Kyungpook Math. J. 35 (3) (1996) 517-526.
- T. Takahashi, Sasakian manifold with pseudo-Riemannian metric, Tohoku Math. J. 21 (2) (1969) 271-290.
- K. Yano, M. Kon, Structures on manifolds, Series in pure mathematics. Volume 3, (1984). Current address : Hüseyin Kocayiµgit, Department of Mathematics, Faculty of Art&Sci. Celal Bayar University, 45047 Manisa, TURKEY
- ISSN: 1303-5991
- Yayın Aralığı: Yılda 4 Sayı
- Başlangıç: 1948
- Yayıncı: Ankara Üniversitesi