(1) Department of Mathematical Sciences, Sharif University of Technology, P. O. Box 11365-9415, Tehran, Iran
Abstract:
The main purpose of this article is to generalize a theorem about the size of minimal submanifolds in Euclidean spaces. In
fact, we state and prove a non-existence theorem about harmonic maps from a stochastically complete manifold into a cone type
domain. The proof is based on a generalized version of the maximum principle applied to the Lapalace-Beltrami operator on
Riemannian manifolds.
Received: 2 August 2007, Revised: 14 April 2008