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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.
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