A boundary value problem for Hermitian harmonic maps and applications

Author:

Chen Jingyi

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference17 articles.

1. Series for all the roots of a trinomial equation;Eagle, Albert;Amer. Math. Monthly,1939

2. [C] Jih-Hsin Cheng, Chain-preserving diffeomorphisms and CR equivalence, Proc. Amer. Math. Soc. 103 (1988), 75–80.

3. Archimedean superrigidity and hyperbolic geometry;Corlette, Kevin;Ann. of Math. (2),1992

4. [CL] J.Y. Chen and S.Y. Li, On the holomorphic extension of maps from the boundary of Kähler manfolds, preprint, 1994.

5. Harmonic maps into singular spaces and 𝑝-adic superrigidity for lattices in groups of rank one;Gromov, Mikhail;Inst. Hautes \'{E}tudes Sci. Publ. Math.,1992

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