Some Results of f-Harmonic and Bi-f-Harmonic Maps with Potential

Some Results of f-Harmonic and Bi-f-Harmonic Maps with Potential

In this note, we characterize the f-harmonic maps and bi-f-harmonic maps with potential.We prove that every bi-f-harmonic map with potential from complete Riemannian manifold,satisfying some conditions is a f-harmonic map with potential. More, we study the case ofconformal maps between equidimensional manifolds.

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