On harmonic and pseudoharmonic maps from strictly pseudoconvex CR manifolds

2015/05/08 by Chong, Tian, Yuxin Dong, Yibin Ren +4 · 1 citation
Mathematics · #32V20 #53C43 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1505.02170

openalex publication_date 2015/05/08 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this paper, we give some rigidity results for both harmonic and pseudoharmonic maps from CR manifolds into Riemannian manifolds or Kahler manifolds. Some basicity, pluriharmonicity and Siu-Sampson type results are established for both harmonic maps and pseudoharmonic maps.

Cited by

• Horizontal Gradient Estimate of Positive Pseudo-Harmonic Functions on Complete Noncompact Pseudo-Hermitian Manifolds

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• Unstability of pseudoharmonic maps between pseudo-Hermitian manifolds
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• RC-positivity and rigidity of harmonic maps into Riemannian manifolds