A boundary value problem

for Hermitian harmonic maps and applications

Author:
Jingyi Chen

Journal:
Proc. Amer. Math. Soc. **124** (1996), 2853-2862

MSC (1991):
Primary 58E20, 53C55

DOI:
https://doi.org/10.1090/S0002-9939-96-03125-5

MathSciNet review:
1301014

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Abstract | References | Similar Articles | Additional Information

Abstract: We study the existence and uniqueness problems for Hermitian harmonic maps from Hermitian manifolds with boundary to Riemannian manifolds of nonpositive sectional curvature and with convex boundary. The complex analyticity of such maps and the related rigidity problems are also investigated.

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Additional Information

**Jingyi Chen**

Affiliation:
Department of Mathematics, University of California, Irvine, California 92717

Address at time of publication:
Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

DOI:
https://doi.org/10.1090/S0002-9939-96-03125-5

Received by editor(s):
July 22, 1994

Additional Notes:
The author was partially supported by NSF grant #9300422

Communicated by:
Peter Li

Article copyright:
© Copyright 1996
American Mathematical Society