Rigidity theorem for harmonic maps with complex normal boundary conditions-Reference-Cited by-同舟云学术

Rigidity theorem for harmonic maps with complex normal boundary conditions

Published:2019-12 Issue:13 Volume:30 Page:1940001
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Li Song-Ying¹,Luo Jie²³

Affiliation:

1. Department of Mathematics, University of California, Irvine, Irvine, CA 92697–3875, USA

2. College of Mathematics and Informatics, Fujian Normal University, Fuzhou, Fujian 350117, PRC

3. Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, PRC

Abstract

Let [Formula: see text] be the open unit ball in [Formula: see text] and let [Formula: see text] be a Kähler manifold with strongly negative or strongly semi-negative curvature. In this paper, we study Siu type rigidity theorem for the harmonic map [Formula: see text] satisfying the boundary condition that [Formula: see text] on [Formula: see text]. We also prove the existence and uniqueness theorem for some Neumann type boundary value problem for harmonic functions on [Formula: see text].

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X19400019

Reference23 articles.

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3. Pluriharmonicity in terms of harmonic slices.

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