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BIHARMONIC CURVES IN CONTACT GEOMETRY

Year 2012, Volume: 61 Issue: 2, 35 - 44, 01.08.2012

Hüseyin Kocayığıt Hilmi Hacısalıhoğ Lu H.

https://doi.org/10.1501/Commua1_0000000678
Cited By: 2

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

Biharmonic curve geodesic circular helix heneral helix contactmanifold

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.
  • 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

Year 2012, Volume: 61 Issue: 2, 35 - 44, 01.08.2012

Hüseyin Kocayığıt Hilmi Hacısalıhoğ Lu H.

https://doi.org/10.1501/Commua1_0000000678
Cited By: 2

Abstract

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.
  • 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
There are 10 citations in total.

Details

Primary Language English
Journal Section Research Articles
Authors

Hüseyin Kocayığıt This is me

Hilmi Hacısalıhoğ Lu H. This is me

Publication Date August 1, 2012
Published in Issue Year 2012 Volume: 61 Issue: 2

Cite

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 Kocayığıt H, Hacısalıhoğ Lu H. H. BIHARMONIC CURVES IN CONTACT GEOMETRY. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. August 2012;61(2):35-44. doi:10.1501/Commua1_0000000678
Chicago Kocayığıt, Hüseyin, and Hilmi Hacısalıhoğ Lu H. “BIHARMONIC CURVES IN CONTACT GEOMETRY”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 61, no. 2 (August 2012): 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 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, 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 2012), 35-44. https://doi.org/10.1501/Commua1_0000000678.
JAMA 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, 2012, pp. 35-44, doi:10.1501/Commua1_0000000678.
Vancouver 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.

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Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

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