Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2012 / Cilt: 61 - Sayı: 2

BIHARMONIC CURVES IN CONTACT GEOMETRY

Pages
35–44
Publication Date
2012-08-01
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

We also give some characterizations for Legendre curves in the same space.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We study biharmonic curves in contact geometry whose mean curvature vector field is in the kernel of Laplacian.
📊
Key Findings & Data:We give some results for biharmonic curves in Sasakian 3-space.
💡
Conclusion & Impact:We also give some characterizations for Legendre curves in the same space.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Biharmonic curve · geodesic · circular helix

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.

🔖

Cite This Article

KOCAYIĞIT, H., H., H. H. L. (2012). BIHARMONIC CURVES IN CONTACT GEOMETRY. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Cilt: 61 - Sayı: 2, 35–44. https://ajindex.com/articles/747412

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (10)

  1. C. Baikoussis, D.E. Blair, On Legendre curves in contact 3-manifolds, Geom. Dedicata. 49(1994) 135-142.
  2. A. Bejancu, K.L. Duggal, Real hypersurfaces of inde…nite Kaehler manifolds, Internat. J. Math. Sci. 16 (1993) 545-556.
  3. 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.
  4. D.E. Blair, Contact Manifolds in Riemannian Geometry, Lecture Notes in Math. Springer- Verlag. Vol. 509 (1976).
  5. B.Y. Chen, S. Ish{kawa, Biharmonic surface in pseudo-Euclidean spaces, Mem. Fac. Sci. Kyushu Univ. A 45 (1991) 323-347.
  6. K.L. Duggal, Space time manifolds and contact structures, Inetrnat. J. Math. Math. Sci. 13 (1990) 545-554.
  7. A. Ferrandez, P. Lucas, M.A. Merono, Biharmoic Hopf cylinders, Rocky Mountain J. Math. 28(3) (1998) 957-975.
  8. T. Ikawa, M. Erdoµgan, Sasakian manifolds with Lorentzian metric, Kyungpook Math. J. 35 (3) (1996) 517-526.
  9. T. Takahashi, Sasakian manifold with pseudo-Riemannian metric, Tohoku Math. J. 21 (2) (1969) 271-290.
  10. 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