Araştırma Makalesi

On $f-$biharmonic Curves in the Three-dimensional Lorentzian Sasakian Manifolds

Cilt: 3 Sayı: 2 27 Aralık 2021
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EN

On $f-$biharmonic Curves in the Three-dimensional Lorentzian Sasakian Manifolds

Öz

The necessary and sufficient conditions for a proper $f-$biharmonic curve in the three-dimensional Lorentzian Sasakian manifolds are obtained. Moreover, we give some results for $f-$biharmonic Legendre curves.

Anahtar Kelimeler

Kaynakça

  1. Eells, J. Jr., & Sampson J. H., (1964). Harmonic mappings of Riemannian manifolds. Amer. J. Math. 86(1), 109-160.
  2. Montaldo, S., & Oniciuc, C., (2006). A short survey on biharmonic maps between Riemannian manifolds. Rev. Un. Mat. Argentina, 47(2), 1-22.
  3. Chen, B.Y., & Ishikawa S., (1991). Biharmonic surfaces in pseudo-Euclidean spaces. Mem. Fac. Sci. Kyushu Univ. Ser. A,45(2), 323-347.
  4. Inoguchi, J. I., (2003). Biharmonic curves in Minkowski 3-space. Int. J. Math. Math. Sci., 21, 1365-1368.
  5. Caddeo, R., Montaldo, S., & Piu, P. (2001). Biharmonic curves on a surface. Rend. Mat. Appl., 21, 143-157.
  6. Caddeo, R., Oniciuc, C., & Piu, P. (2004). Explicit formulas for non-geodesic biharmonic curves of the Heisenberg group. Rend. Sem. Mat. Univ. Politec. Torino, 62, 265-277.
  7. Ou, Y. L., & Wang, Z. P., (2006). Biharmonic maps into Sol and Nil space. arXiv preprint math/0612329.
  8. Caddeo, R., Montaldo, S., Oniciuc, C., & Piu, P. (2006). The classification of biharmonic curves of Cartan-Vranceanu 3-dimensional spaces. The 7th Int. Workshop in Dif. Geo. App., Cluj University Press, 121-131.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

27 Aralık 2021

Gönderilme Tarihi

30 Haziran 2021

Kabul Tarihi

17 Aralık 2021

Yayımlandığı Sayı

Yıl 2021 Cilt: 3 Sayı: 2

Kaynak Göster

APA
Altunbaş, M. (2021). On $f-$biharmonic Curves in the Three-dimensional Lorentzian Sasakian Manifolds. Hagia Sophia Journal of Geometry, 3(2), 24-30. https://izlik.org/JA52EG48PN
AMA
1.Altunbaş M. On $f-$biharmonic Curves in the Three-dimensional Lorentzian Sasakian Manifolds. HSJG. 2021;3(2):24-30. https://izlik.org/JA52EG48PN
Chicago
Altunbaş, Murat. 2021. “On $f-$biharmonic Curves in the Three-dimensional Lorentzian Sasakian Manifolds”. Hagia Sophia Journal of Geometry 3 (2): 24-30. https://izlik.org/JA52EG48PN.
EndNote
Altunbaş M (01 Aralık 2021) On $f-$biharmonic Curves in the Three-dimensional Lorentzian Sasakian Manifolds. Hagia Sophia Journal of Geometry 3 2 24–30.
IEEE
[1]M. Altunbaş, “On $f-$biharmonic Curves in the Three-dimensional Lorentzian Sasakian Manifolds”, HSJG, c. 3, sy 2, ss. 24–30, Ara. 2021, [çevrimiçi]. Erişim adresi: https://izlik.org/JA52EG48PN
ISNAD
Altunbaş, Murat. “On $f-$biharmonic Curves in the Three-dimensional Lorentzian Sasakian Manifolds”. Hagia Sophia Journal of Geometry 3/2 (01 Aralık 2021): 24-30. https://izlik.org/JA52EG48PN.
JAMA
1.Altunbaş M. On $f-$biharmonic Curves in the Three-dimensional Lorentzian Sasakian Manifolds. HSJG. 2021;3:24–30.
MLA
Altunbaş, Murat. “On $f-$biharmonic Curves in the Three-dimensional Lorentzian Sasakian Manifolds”. Hagia Sophia Journal of Geometry, c. 3, sy 2, Aralık 2021, ss. 24-30, https://izlik.org/JA52EG48PN.
Vancouver
1.Murat Altunbaş. On $f-$biharmonic Curves in the Three-dimensional Lorentzian Sasakian Manifolds. HSJG [Internet]. 01 Aralık 2021;3(2):24-30. Erişim adresi: https://izlik.org/JA52EG48PN