Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2021, Cilt: 3 Sayı: 2, 24 - 30, 27.12.2021

Öz

Kaynakça

  • Eells, J. Jr., & Sampson J. H., (1964). Harmonic mappings of Riemannian manifolds. Amer. J. Math. 86(1), 109-160.
  • Montaldo, S., & Oniciuc, C., (2006). A short survey on biharmonic maps between Riemannian manifolds. Rev. Un. Mat. Argentina, 47(2), 1-22.
  • Chen, B.Y., & Ishikawa S., (1991). Biharmonic surfaces in pseudo-Euclidean spaces. Mem. Fac. Sci. Kyushu Univ. Ser. A,45(2), 323-347.
  • Inoguchi, J. I., (2003). Biharmonic curves in Minkowski 3-space. Int. J. Math. Math. Sci., 21, 1365-1368.
  • Caddeo, R., Montaldo, S., & Piu, P. (2001). Biharmonic curves on a surface. Rend. Mat. Appl., 21, 143-157.
  • 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.
  • Ou, Y. L., & Wang, Z. P., (2006). Biharmonic maps into Sol and Nil space. arXiv preprint math/0612329.
  • 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.
  • Lu, W. J., (2015). On f−Biharmonic maps and bi-f−harmonic maps between Riemannian manifolds. Sci. China Math.58(7), 1483-1498.
  • Ou, Y. L. (2014). On f−biharmonic maps and f−biharmonic submanifolds. Pacific J. Math., 271(2), 461-477.
  • Güvenç ̧, S., & Özgür, C., (2017). On the characterizations off−biharmonic Legendre curves in Sasakian space forms.Filomat, 31(3), 639-648.
  • Karaca, F., & Özgür, C., (2018). On f−biharmonic curves. International Electronic Journal of Geometry, 11(2), 18-27.
  • Du, L., & Zhang, J., (2020). Classification of f-biharmonic curves in Lorentz–Minkowski space. Journal of Mathematics.
  • Calvoruso, G., (2011). Contact Lorentzian manifolds. Dif. Geom. Appl., 29, 41-51.
  • Lee, J. E., (2019). Slant curves and contact Magnetic curves in Sasakian Lorentzian 3-Manifolds. Symmetry, 11(6), 784.
  • Oukkas, S., Nasri, R., & Djaa, M., (2010). On the f−harmonic and f−biharmonic maps. JP J. Geom. Topol., 10(1) 11-27.
  • Lee, J. E., (2020). Biharmonic curves in three-dimensional Lorentzian Sasakian space forms. Comm. Korean Math. Soc.,35(3), 967-977.

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

Yıl 2021, Cilt: 3 Sayı: 2, 24 - 30, 27.12.2021

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.

Kaynakça

  • Eells, J. Jr., & Sampson J. H., (1964). Harmonic mappings of Riemannian manifolds. Amer. J. Math. 86(1), 109-160.
  • Montaldo, S., & Oniciuc, C., (2006). A short survey on biharmonic maps between Riemannian manifolds. Rev. Un. Mat. Argentina, 47(2), 1-22.
  • Chen, B.Y., & Ishikawa S., (1991). Biharmonic surfaces in pseudo-Euclidean spaces. Mem. Fac. Sci. Kyushu Univ. Ser. A,45(2), 323-347.
  • Inoguchi, J. I., (2003). Biharmonic curves in Minkowski 3-space. Int. J. Math. Math. Sci., 21, 1365-1368.
  • Caddeo, R., Montaldo, S., & Piu, P. (2001). Biharmonic curves on a surface. Rend. Mat. Appl., 21, 143-157.
  • 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.
  • Ou, Y. L., & Wang, Z. P., (2006). Biharmonic maps into Sol and Nil space. arXiv preprint math/0612329.
  • 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.
  • Lu, W. J., (2015). On f−Biharmonic maps and bi-f−harmonic maps between Riemannian manifolds. Sci. China Math.58(7), 1483-1498.
  • Ou, Y. L. (2014). On f−biharmonic maps and f−biharmonic submanifolds. Pacific J. Math., 271(2), 461-477.
  • Güvenç ̧, S., & Özgür, C., (2017). On the characterizations off−biharmonic Legendre curves in Sasakian space forms.Filomat, 31(3), 639-648.
  • Karaca, F., & Özgür, C., (2018). On f−biharmonic curves. International Electronic Journal of Geometry, 11(2), 18-27.
  • Du, L., & Zhang, J., (2020). Classification of f-biharmonic curves in Lorentz–Minkowski space. Journal of Mathematics.
  • Calvoruso, G., (2011). Contact Lorentzian manifolds. Dif. Geom. Appl., 29, 41-51.
  • Lee, J. E., (2019). Slant curves and contact Magnetic curves in Sasakian Lorentzian 3-Manifolds. Symmetry, 11(6), 784.
  • Oukkas, S., Nasri, R., & Djaa, M., (2010). On the f−harmonic and f−biharmonic maps. JP J. Geom. Topol., 10(1) 11-27.
  • Lee, J. E., (2020). Biharmonic curves in three-dimensional Lorentzian Sasakian space forms. Comm. Korean Math. Soc.,35(3), 967-977.
Toplam 17 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Makaleler
Yazarlar

Murat Altunbaş 0000-0002-0371-9913

Yayımlanma Tarihi 27 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.