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Hermitian Harmonic Maps into Convex Balls

Published online by Cambridge University Press:  20 November 2018

Zhen Yang Li  and
Xi Zhang
Zhen Yang Li
Affiliation:
School of Mathematical Sciences, Peking University, Beijing 100871, P. R. China e-mail: lzymath@sina.com
Xi Zhang
Affiliation:
Department of Mathematics, Zhejiang University, 148 Tianmushan Road, Hangzhou 310028, Zhejiang, P. R. China e-mail: xizhang@zju.edu.cn
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Abstract

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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.

Keywords

58E1553C07Hermitian harmonic mapHermitian manifoldconvex ball
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 50 , Issue 1 , 01 March 2007 , pp. 113 - 122
Copyright
Copyright © Canadian Mathematical Society 2007

References

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