Nakauchi, Nobumitsu2018-08-222018-08-221995-06-15Nakauchi, N. (1995). A remark on ∞-harmonic functions on Riemannian manifolds. <i>Electronic Journal of Differential Equations, 1995</i>(07), pp. 1-10.1072-6691https://hdl.handle.net/10877/7583In 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.Text11 pages1 file (.pdf)enAttribution 4.0 InternationalInfinity-harmonic functionsInfinity-LaplacianA Remark on ∞-harmonic Functions on Riemannian ManifoldsArticle