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

Year 2021, Volume: 14 Issue: 1, 157 - 166, 15.04.2021

Zegga Kaddour

https://doi.org/10.36890/iejg.713254

Abstract

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 of conformal maps between equidimensional manifolds.

Keywords

f-harmonic maps with potential, bi-f-harmonic maps with potential, H-f-energy

Thanks

The author would like to thank the referee for his helpful suggestions and his valuable comments which helped to improve the manuscript.

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