Hermitian harmonic maps into convex balls

作者：Li ZhenYang^*; Zhang Xi

来源：Canadian Mathematical Bulletin, 2007, 50(1): 113-122.

DOI：10.4153/CMB-2007-011-1

• Hermitian harmonic map
• Hermitian manifold
• convex ball

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.

• 出版日期2007-3
• 单位北京大学