EN
BIHARMONIC CURVES IN CONTACT GEOMETRY
Abstract
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
References
- 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.
Details
Primary Language
English
Subjects
-
Journal Section
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Publication Date
August 1, 2012
Submission Date
-
Acceptance Date
-
Published in Issue
Year 2012 Volume: 61 Number: 2
APA
Kocayığıt, H., & Hacısalıhoğ Lu H., H. (2012). BIHARMONIC CURVES IN CONTACT GEOMETRY. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 61(2), 35-44. https://doi.org/10.1501/Commua1_0000000678
AMA
1.Kocayığıt H, Hacısalıhoğ Lu H. H. BIHARMONIC CURVES IN CONTACT GEOMETRY. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2012;61(2):35-44. doi:10.1501/Commua1_0000000678
Chicago
Kocayığıt, Hüseyin, and Hilmi Hacısalıhoğ Lu H. 2012. “BIHARMONIC CURVES IN CONTACT GEOMETRY”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 61 (2): 35-44. https://doi.org/10.1501/Commua1_0000000678.
EndNote
Kocayığıt H, Hacısalıhoğ Lu H. H (August 1, 2012) BIHARMONIC CURVES IN CONTACT GEOMETRY. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 61 2 35–44.
IEEE
[1]H. Kocayığıt and H. Hacısalıhoğ Lu H., “BIHARMONIC CURVES IN CONTACT GEOMETRY”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 61, no. 2, pp. 35–44, Aug. 2012, doi: 10.1501/Commua1_0000000678.
ISNAD
Kocayığıt, Hüseyin - Hacısalıhoğ Lu H., Hilmi. “BIHARMONIC CURVES IN CONTACT GEOMETRY”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 61/2 (August 1, 2012): 35-44. https://doi.org/10.1501/Commua1_0000000678.
JAMA
1.Kocayığıt H, Hacısalıhoğ Lu H. H. BIHARMONIC CURVES IN CONTACT GEOMETRY. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2012;61:35–44.
MLA
Kocayığıt, Hüseyin, and Hilmi Hacısalıhoğ Lu H. “BIHARMONIC CURVES IN CONTACT GEOMETRY”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 61, no. 2, Aug. 2012, pp. 35-44, doi:10.1501/Commua1_0000000678.
Vancouver
1.Hüseyin Kocayığıt, Hilmi Hacısalıhoğ Lu H. BIHARMONIC CURVES IN CONTACT GEOMETRY. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2012 Aug. 1;61(2):35-44. doi:10.1501/Commua1_0000000678
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