Canad. Math. Bull. 50(2007), 113-122
Printed: Mar 2007
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.
Hermitian harmonic map, Hermitian manifold, convex ball
58E15 - Application to extremal problems in several variables; Yang-Mills functionals [See also 81T13], etc.
53C07 - Special connections and metrics on vector bundles (Hermite-Einstein-Yang-Mills) [See also 32Q20]