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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2021 / Cilt: 50 - Sayı: 5

On $\lambda $-biminimal conformal immersions

Fatma Karaca
Cihan Özgür
Sayfa
1401–1408
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In the present paper, we consider $\lambda $-biminimal conformal immersions.
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Temel Bulgular & Veri:We find the Euler-Lagrange equation of $\lambda $-biminimal immersions under conformal change of metrics.
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Sonuç & Katkı: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.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:$\lambda $-biminimal immersion · $\lambda $ -biminimal conformal immersion · $\lambda $-biminimal homothetic immersion

Abstract

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.

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Bu Makaleye Atıf Yap

Karaca, F., Özgür, C. (2022). On $\lambda $-biminimal conformal immersions. Hacettepe Journal of Mathematics and Statistics, Cilt: 50 - Sayı: 5, 1401–1408. https://ajindex.com/articles/529461

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Kaynakça (15)

  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.