Research Article
BibTex RIS Cite
Year 2018, Volume: 6 Issue: 1, 153 - 157, 15.04.2018

Abstract

References

  • [1] Baikoussis, C., and Blair, D. E., On Legendre curves in contact 3-manifolds, Geom. Dedicata, 49 (1994), 135-142.
  • [2] Blair, D. E., Riemannian geometry of contact and symplectic manifolds, Progress in Math., Vol 203 Barkhauser, Boston (2002).
  • [3] Sarkar, A., Mondal, Ashis., Certain curves on some classes of three-dimensional manifolds, Revista de la unoin Mathematica Argentina, 58(2017), 107-125.
  • [4] Cho, J. T. and Lee, J. E., Slant curves in contact Pseudo-Hermition manifolds, Bull. Austral. Math. Soc.78 (2008), 383-396.
  • [5] Gu¨venc, S. and Özgur, C., On slant curves in trans-Sasakian manifolds, Revista De La Union Mat Argentina, 55(2014), 81-100.
  • [6] Özgur, C., and Gu¨venc, S., On some classes of biharmonic Legendre curves in generalized Sasakian space forms, Collect. Math., 65(2014), 203-218.
  • [7] Kenmotsu, K., A class of almost contact Riemannian manifolds, Tohoku Math. J., 24(1972), 93-103.

Some Curves on Three Dimensional Kenmotsu Space Forms

Year 2018, Volume: 6 Issue: 1, 153 - 157, 15.04.2018

Abstract

 The object of the present paper is to study slant curves, $C$-parallel slant curves on Kenmotsu space forms. As a particular case we consider Legendre curves and integral curves of the Reeb vector fields. We show that on such manifolds Legendre curves do not exist and the slant integral curves of the Reeb vector fields are a geodesics. We also study biharmonic curves on such manifolds. An example is given.

References

  • [1] Baikoussis, C., and Blair, D. E., On Legendre curves in contact 3-manifolds, Geom. Dedicata, 49 (1994), 135-142.
  • [2] Blair, D. E., Riemannian geometry of contact and symplectic manifolds, Progress in Math., Vol 203 Barkhauser, Boston (2002).
  • [3] Sarkar, A., Mondal, Ashis., Certain curves on some classes of three-dimensional manifolds, Revista de la unoin Mathematica Argentina, 58(2017), 107-125.
  • [4] Cho, J. T. and Lee, J. E., Slant curves in contact Pseudo-Hermition manifolds, Bull. Austral. Math. Soc.78 (2008), 383-396.
  • [5] Gu¨venc, S. and Özgur, C., On slant curves in trans-Sasakian manifolds, Revista De La Union Mat Argentina, 55(2014), 81-100.
  • [6] Özgur, C., and Gu¨venc, S., On some classes of biharmonic Legendre curves in generalized Sasakian space forms, Collect. Math., 65(2014), 203-218.
  • [7] Kenmotsu, K., A class of almost contact Riemannian manifolds, Tohoku Math. J., 24(1972), 93-103.
There are 7 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

Ashis Mondal

Publication Date April 15, 2018
Submission Date August 4, 2017
Acceptance Date November 26, 2017
Published in Issue Year 2018 Volume: 6 Issue: 1

Cite

APA Mondal, A. (2018). Some Curves on Three Dimensional Kenmotsu Space Forms. Konuralp Journal of Mathematics, 6(1), 153-157.
AMA Mondal A. Some Curves on Three Dimensional Kenmotsu Space Forms. Konuralp J. Math. April 2018;6(1):153-157.
Chicago Mondal, Ashis. “Some Curves on Three Dimensional Kenmotsu Space Forms”. Konuralp Journal of Mathematics 6, no. 1 (April 2018): 153-57.
EndNote Mondal A (April 1, 2018) Some Curves on Three Dimensional Kenmotsu Space Forms. Konuralp Journal of Mathematics 6 1 153–157.
IEEE A. Mondal, “Some Curves on Three Dimensional Kenmotsu Space Forms”, Konuralp J. Math., vol. 6, no. 1, pp. 153–157, 2018.
ISNAD Mondal, Ashis. “Some Curves on Three Dimensional Kenmotsu Space Forms”. Konuralp Journal of Mathematics 6/1 (April 2018), 153-157.
JAMA Mondal A. Some Curves on Three Dimensional Kenmotsu Space Forms. Konuralp J. Math. 2018;6:153–157.
MLA Mondal, Ashis. “Some Curves on Three Dimensional Kenmotsu Space Forms”. Konuralp Journal of Mathematics, vol. 6, no. 1, 2018, pp. 153-7.
Vancouver Mondal A. Some Curves on Three Dimensional Kenmotsu Space Forms. Konuralp J. Math. 2018;6(1):153-7.
Creative Commons License
The published articles in KJM are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.