## On the generalized $$f$$-biharmonic maps and stress $$f$$-bienergy tensor.(English)Zbl 1296.53129

Summary: 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.

### MSC:

 53C43 Differential geometric aspects of harmonic maps 58E20 Harmonic maps, etc.

### Keywords:

stress $$f$$-energy; divergence; stress $$f$$-bienergy