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Liouville theorems for exponentially harmonic functions on Riemannian manifolds
Authors:Hong Min-Chun
Affiliation:(1) Department of Mathematics, Zhejiang University, Hangzhou, P. R. China;(2) Present address: Mathematical Section, International Centre for Theoretic Physics, P.O. Box 586, 34100 Trieste, Italy
Abstract:Suppose thatM is a complete Riemannian manifolds with nonnegative sectional curvature. We prove that any bounded exponentially harmonic function onM is a constant function.
Keywords:58E20
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