BibTex RIS Kaynak Göster

BIHARMONIC CURVES IN CONTACT GEOMETRY

Yıl 2012, Cilt: 61 Sayı: 2, 35 - 44, 01.08.2012

Hüseyin Kocayığıt Hilmi Hacısalıhoğ Lu H.

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

Öz

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.

Anahtar Kelimeler

Biharmonic curve geodesic circular helix heneral helix contactmanifold

Kaynakça

  • 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

Yıl 2012, Cilt: 61 Sayı: 2, 35 - 44, 01.08.2012

Hüseyin Kocayığıt Hilmi Hacısalıhoğ Lu H.

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

Öz

Kaynakça

  • 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
Toplam 10 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Research Article
Yazarlar

Hüseyin Kocayığıt Bu kişi benim

Hilmi Hacısalıhoğ Lu H. Bu kişi benim

Yayımlanma Tarihi 1 Ağustos 2012
Yayımlandığı Sayı Yıl 2012 Cilt: 61 Sayı: 2

Kaynak Göster

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. Ağustos 2012;61(2):35-44. doi:10.1501/Commua1_0000000678
Chicago Kocayığıt, Hüseyin, ve Hilmi Hacısalıhoğ Lu H. “BIHARMONIC CURVES IN CONTACT GEOMETRY”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 61, sy. 2 (Ağustos 2012): 35-44. https://doi.org/10.1501/Commua1_0000000678.
EndNote Kocayığıt H, Hacısalıhoğ Lu H. H (01 Ağustos 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 ve H. Hacısalıhoğ Lu H., “BIHARMONIC CURVES IN CONTACT GEOMETRY”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., c. 61, sy. 2, ss. 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 (Ağustos 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 ve Hilmi Hacısalıhoğ Lu H. “BIHARMONIC CURVES IN CONTACT GEOMETRY”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, c. 61, sy. 2, 2012, ss. 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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