LIOUVILLE TYPE THEOREM FOR p-HARMONIC MAPS II

Title & Authors
LIOUVILLE TYPE THEOREM FOR p-HARMONIC MAPS II
Jung, Seoung Dal;

Abstract
Let M be a complete Riemannian manifold and let N be a Riemannian manifold of non-positive sectional curvature. Assume that $\small{Ric^M{\geq}-\frac{4(p-1)}{p^2}{\mu}_0}$ at all $\small{x{\in}M}$ and Vol(M) is infinite, where $\small{{\mu}_0}$ > 0 is the infimum of the spectrum of the Laplacian acting on $\small{L^2}$-functions on M. Then any p-harmonic map $\small{{\phi}:M{\rightarrow}N}$ 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;
Language
English
Cited by
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