On $\lambda $-biminimal conformal immersions

On $\lambda $-biminimal conformal immersions

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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