Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2021, Cilt: 50 Sayı: 5, 1401 - 1408, 15.10.2021
https://doi.org/10.15672/hujms.608602

Öz

Kaynakça

  • [1] J.T. Cho and J.-E. Lee, Pseudohermitian biminimal Legendre surfaces in the 5- dimensional sphere, Osaka J. Math. 52 (4), 1063–1077, 2015.
  • [2] J.Jr. Eells and J.H. Sampson, Harmonic mappings of Riemannian manifolds, Amer. J. Math. 86, 109–160, 1964.
  • [3] F. Gürler and C. Özgür, f-biminimal immersions, Turkish J. Math. 41 (3), 564–575, 2017.
  • [4] J. Inoguchi, Biminimal submanifolds in contact 3-manifolds, Balkan J. Geom. Appl. 12 (1), 56–67, 2007.
  • [5] J. Inoguchi and J.-E. Lee, Biminimal curves in 2-dimensional space forms, Commun. Korean Math. Soc. 27 (4), 771–780, 2012.
  • [6] G.Y. Jiang, 2-Harmonic maps and their first and second variational formulas, Chinese Ann. Math. Ser. A, 7 (4), 389–402, 1986.
  • [7] F. Karaca, f-biminimal submanifolds of generalized space forms, Commun. Fac. Sci. Univ. Ank. Ser. A1. Math. Stat. 68 (2), 1301–1315, 2019.
  • [8] E. Loubeau and S. Montaldo, Biminimal immersions, Proc. Edinb. Math. Soc. 51 (2), 421–437, 2008.
  • [9] S. Maeta, Biminimal properly immersed submanifolds in the Euclidean spaces, J. Geom. Phys. 62 (11), 2288–2293, 2012.
  • [10] Y.-L. Ou, On conformal biharmonic immersions, Ann. Global Anal. Geom. 36 (2), 133–142, 2009.
  • [11] Y.-L. Ou, Biharmonic conformal immersions into three-dimensional manifolds, Mediterr. J. Math. 12 (2), 541–554, 2015.
  • [12] Y.-L. Ou and B.Y. Chen, Biharmonic submanifolds and biharmonic maps in Rie- mannian geometry, Hackensack, NJ: World Scientific, 2020.
  • [13] T. Sasahara, A classification result for biminimal Lagrangian surfaces in complex space forms, J. Geom. Phys. 60 (6-8), 884–895, 2010.
  • [14] T. Sasahara, Classification results for -biminimal surfaces in 2-dimensional complex space forms, Acta Math. Hungar. 144 (2), 433–448, 2014.
  • [15] K. Yano and M. Obata, Conformal changes of Riemannian metrics, J. Differential Geometry, 4, 53–72, 1970.

On $\lambda $-biminimal conformal immersions

Yıl 2021, Cilt: 50 Sayı: 5, 1401 - 1408, 15.10.2021
https://doi.org/10.15672/hujms.608602

Öz

In the present paper, we consider $\lambda $-biminimal conformal immersions. We find the Euler-Lagrange equation of $\lambda $-biminimal immersions under conformal change of metrics. We also consider $\lambda $-biminimal immersions from a surface $\left( M^{2},g\right) $ to a Riemannian manifold $\left( N^{3},h\right) $ under homothetic change of metric and give an example.

Kaynakça

  • [1] J.T. Cho and J.-E. Lee, Pseudohermitian biminimal Legendre surfaces in the 5- dimensional sphere, Osaka J. Math. 52 (4), 1063–1077, 2015.
  • [2] J.Jr. Eells and J.H. Sampson, Harmonic mappings of Riemannian manifolds, Amer. J. Math. 86, 109–160, 1964.
  • [3] F. Gürler and C. Özgür, f-biminimal immersions, Turkish J. Math. 41 (3), 564–575, 2017.
  • [4] J. Inoguchi, Biminimal submanifolds in contact 3-manifolds, Balkan J. Geom. Appl. 12 (1), 56–67, 2007.
  • [5] J. Inoguchi and J.-E. Lee, Biminimal curves in 2-dimensional space forms, Commun. Korean Math. Soc. 27 (4), 771–780, 2012.
  • [6] G.Y. Jiang, 2-Harmonic maps and their first and second variational formulas, Chinese Ann. Math. Ser. A, 7 (4), 389–402, 1986.
  • [7] F. Karaca, f-biminimal submanifolds of generalized space forms, Commun. Fac. Sci. Univ. Ank. Ser. A1. Math. Stat. 68 (2), 1301–1315, 2019.
  • [8] E. Loubeau and S. Montaldo, Biminimal immersions, Proc. Edinb. Math. Soc. 51 (2), 421–437, 2008.
  • [9] S. Maeta, Biminimal properly immersed submanifolds in the Euclidean spaces, J. Geom. Phys. 62 (11), 2288–2293, 2012.
  • [10] Y.-L. Ou, On conformal biharmonic immersions, Ann. Global Anal. Geom. 36 (2), 133–142, 2009.
  • [11] Y.-L. Ou, Biharmonic conformal immersions into three-dimensional manifolds, Mediterr. J. Math. 12 (2), 541–554, 2015.
  • [12] Y.-L. Ou and B.Y. Chen, Biharmonic submanifolds and biharmonic maps in Rie- mannian geometry, Hackensack, NJ: World Scientific, 2020.
  • [13] T. Sasahara, A classification result for biminimal Lagrangian surfaces in complex space forms, J. Geom. Phys. 60 (6-8), 884–895, 2010.
  • [14] T. Sasahara, Classification results for -biminimal surfaces in 2-dimensional complex space forms, Acta Math. Hungar. 144 (2), 433–448, 2014.
  • [15] K. Yano and M. Obata, Conformal changes of Riemannian metrics, J. Differential Geometry, 4, 53–72, 1970.
Toplam 15 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Matematik
Yazarlar

Fatma Karaca Bu kişi benim 0000-0002-0382-8028

Cihan Özgür 0000-0002-4579-7151

Yayımlanma Tarihi 15 Ekim 2021
Yayımlandığı Sayı Yıl 2021 Cilt: 50 Sayı: 5

Kaynak Göster

APA Karaca, F., & Özgür, C. (2021). On $\lambda $-biminimal conformal immersions. Hacettepe Journal of Mathematics and Statistics, 50(5), 1401-1408. https://doi.org/10.15672/hujms.608602
AMA Karaca F, Özgür C. On $\lambda $-biminimal conformal immersions. Hacettepe Journal of Mathematics and Statistics. Ekim 2021;50(5):1401-1408. doi:10.15672/hujms.608602
Chicago Karaca, Fatma, ve Cihan Özgür. “On $\lambda $-Biminimal Conformal Immersions”. Hacettepe Journal of Mathematics and Statistics 50, sy. 5 (Ekim 2021): 1401-8. https://doi.org/10.15672/hujms.608602.
EndNote Karaca F, Özgür C (01 Ekim 2021) On $\lambda $-biminimal conformal immersions. Hacettepe Journal of Mathematics and Statistics 50 5 1401–1408.
IEEE F. Karaca ve C. Özgür, “On $\lambda $-biminimal conformal immersions”, Hacettepe Journal of Mathematics and Statistics, c. 50, sy. 5, ss. 1401–1408, 2021, doi: 10.15672/hujms.608602.
ISNAD Karaca, Fatma - Özgür, Cihan. “On $\lambda $-Biminimal Conformal Immersions”. Hacettepe Journal of Mathematics and Statistics 50/5 (Ekim 2021), 1401-1408. https://doi.org/10.15672/hujms.608602.
JAMA Karaca F, Özgür C. On $\lambda $-biminimal conformal immersions. Hacettepe Journal of Mathematics and Statistics. 2021;50:1401–1408.
MLA Karaca, Fatma ve Cihan Özgür. “On $\lambda $-Biminimal Conformal Immersions”. Hacettepe Journal of Mathematics and Statistics, c. 50, sy. 5, 2021, ss. 1401-8, doi:10.15672/hujms.608602.
Vancouver Karaca F, Özgür C. On $\lambda $-biminimal conformal immersions. Hacettepe Journal of Mathematics and Statistics. 2021;50(5):1401-8.