In this paper, we investigate some properties for generalized $f$-harmonic and $f$-biharmonic maps between two Riemannian manifolds. In particular we present some new properties for the generalized stress $f$-energy tensor and the divergence of the generalized stress $f$-bienergy.
Djaa Mustapha. Ahmed Cherif. "On the Generalized f-biharmonic Maps and Stress f-bienergy Tensor." J. Geom. Symmetry Phys. 29 65 - 81, 2013. https://doi.org/10.7546/jgsp-29-2013-65-81