Abstract
We prove that the constant maps are the onlyp-harmonic maps for anyp ≥ 2 from an arbitrary compact Riemannian manifold into a complete Riemannian manifold which admits a strictly convex function.
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Cheung, LF., Leung, PF. A remark on convex functions andp-harmonic maps. Geom Dedicata 56, 269–270 (1995). https://doi.org/10.1007/BF01263568
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DOI: https://doi.org/10.1007/BF01263568