On $\lambda $-biminimal conformal immersions

Year 2021, Volume: 50 Issue: 5, 1401 - 1408, 15.10.2021

Fatma Karaca Cihan Özgür

https://doi.org/10.15672/hujms.608602

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.

Keywords

$\lambda $-biminimal immersion, $\lambda $ -biminimal conformal immersion, $\lambda $-biminimal homothetic immersion

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