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Hermitian Harmonic Maps into Convex Balls
Published online by Cambridge University Press: 20 November 2018
Abstract
In this paper, we consider Hermitian harmonic maps from Hermitian manifolds into convex balls. We prove that there exist no non-trivial Hermitian harmonic maps from closed Hermitian manifolds into convex balls, and we use the heat flow method to solve the Dirichlet problem for Hermitian harmonic maps when the domain is a compact Hermitian manifold with non-empty boundary.
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- Copyright © Canadian Mathematical Society 2007
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