Electronic Journal of Differential Equations,
Vol. 1995(1995), No. 07, pp. 1-10.

Title: A Remark on $\infty$-harmonic Functions on Riemannian Manifolds

Author: Nobumitsu Nakauchi (Yamaguchi University, Japan)

Abstract: In this note we prove an equality for $\infty$-harmonic 
 functions on Riemannian manifolds. As a corollary, there is no 
 non-constant $\infty$-harmonic function on positively (or negatively)
 curved manifolds.

Submitted February 20,1995. Published June 15, 1995.
Math Subject Classification: 35J70, 35J20, 26B35.
Key Words: $\infty$-harmonic function; $\infty$-Laplacian.

An addendum to this article was attached on December 11; 1996.