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 Liouville type theorem for $p$-harmonic maps II Commun. Korean Math. Soc. 2014 Vol. 29, No. 1, 155-161 https://doi.org/10.4134/CKMS.2014.29.1.155Printed January 31, 2014 Seoung Dal Jung Jeju National University Abstract : Let $M$ be a complete Riemannian manifold and let $N$ be a Riemannian manifold of non-positive sectional curvature. Assume that $Ric^M \geq-{4(p-1)\over p^2}\mu_0$ at all $x\in M$ and ${\rm Vol}(M)$ is infinite, where $\mu_0>0$ is the infimum of the spectrum of the Laplacian acting on $L^2$-functions on $M$. Then any $p$-harmonic map $\phi:M\to N$ of finite $p$-energy is constant. Also, we study Liouville type theorem for $p$-harmonic morphism. Keywords : $p$-harmonic map, $p$-harmonic morphism, Liouville type theorem MSC numbers : 53C43, 58E20 Downloads: Full-text PDF

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