Nobumitsu Nakauchi
Abstract: In this note we prove an equality for infinity-harmonic functions on Riemannian manifolds. As a corollary, there is no non-constant infinity-harmonic function on positively (or negatively) curved manifolds.
Submitted February 20,1995. Published June 15, 1995.
Math Subject Classification: 35J70, 35J20, 26B35.
Key Words: infinity-harmonic function, infinity-Laplacian.
An addendum was attached on December 11, 1996. See last page of the this article..
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