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Some properties of harmonic maps for Finsler manifolds. (English) Zbl 1135.53054

The paper studies properties of harmonic maps between Finsler manifolds. Several rigidity theorems for such maps are given. The stress-energy tensor for maps between Finsler manifolds is defined, and related integral formulas are obtained. As well, it is proved that any conformal strongly harmonic map from a Finsler manifold of dimension \(n>2\) to a Finsler manifold must be homothetic.

MSC:

53C60 Global differential geometry of Finsler spaces and generalizations (areal metrics)
53B40 Local differential geometry of Finsler spaces and generalizations (areal metrics)
53C43 Differential geometric aspects of harmonic maps
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