Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2018, Cilt: 6 Sayı: 1, 153 - 157, 15.04.2018

Öz

Kaynakça

  • [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

Yıl 2018, Cilt: 6 Sayı: 1, 153 - 157, 15.04.2018

Öz

 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.

Kaynakça

  • [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.
Toplam 7 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Articles
Yazarlar

Ashis Mondal

Yayımlanma Tarihi 15 Nisan 2018
Gönderilme Tarihi 4 Ağustos 2017
Kabul Tarihi 26 Kasım 2017
Yayımlandığı Sayı Yıl 2018 Cilt: 6 Sayı: 1

Kaynak Göster

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. Nisan 2018;6(1):153-157.
Chicago Mondal, Ashis. “Some Curves on Three Dimensional Kenmotsu Space Forms”. Konuralp Journal of Mathematics 6, sy. 1 (Nisan 2018): 153-57.
EndNote Mondal A (01 Nisan 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., c. 6, sy. 1, ss. 153–157, 2018.
ISNAD Mondal, Ashis. “Some Curves on Three Dimensional Kenmotsu Space Forms”. Konuralp Journal of Mathematics 6/1 (Nisan 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, c. 6, sy. 1, 2018, ss. 153-7.
Vancouver Mondal A. Some Curves on Three Dimensional Kenmotsu Space Forms. Konuralp J. Math. 2018;6(1):153-7.
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