Journals / International Electronic Journal of Geometry / 2021 / Cilt: 14 - Sayı: 1
Some Results of $f$-Harmonic and Bi-$f$-Harmonic Maps with Potential
- Pages
- 157–166
- DOI
- —
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.
Özet
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.