[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2014.29.1.155

LIOUVILLE TYPE THEOREM FOR p-HARMONIC MAPS II

Jung, Seoung Dal (Department of Mathematics Jeju National University)

Publication Information

Communications of the Korean Mathematical Society / v.29, no.1, 2014 , pp. 155-161 More about this Journal

Abstract

Let M be a complete Riemannian manifold and let N be a Riemannian manifold of non-positive sectional curvature. Assume that $Ric^M{\geq}-\frac{4(p-1)}{p^2}{\mu}_0$ at all $x{\in}M$ and 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 ${\phi}:M{\rightarrow}N$ 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;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)

Reference
Cited By KSCI

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