Hermitian Harmonic Maps into Convex Balls

• Autores: Zhen-Yang Li, Xi Zhang
• Localización: Canadian mathematical bulletin, ISSN 0008-4395, Vol. 50, Nº 1, 2007, págs. 113-122
• Idioma: inglés
• DOI: 10.4153/cmb-2007-011-1
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• Resumen

  • 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.