Liouville theorem of VT harmonic map from complete noncompact manifold into horoball

2023/03/14 by Xiangzhi Cao, Cao, Xiangzhi
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2303.07686

openalex publication_date 2023/03/14 · openalex created_date 2023/03/17 · openalex updated_date 2026/07/28

Abstract

In this paper, we mainly study Liouville theorem of V T harmonic map from complete noncompact manifold into horoball in Cartan-Hardmard manifold. To this aim, we will establish gradient estimates under some condition on and V and T.

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