A Liouville theorem on complete non-Kähler manifolds

2018/05/29 by Yuang Li, Li, Yuang, Chuanjing Zhang +3 · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1805.11215

openalex publication_date 2018/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we prove a Liouville theorem for holomorphic functions on a class of complete Gauduchon manifolds. This generalizes a result of Yau for complete Kähler manifolds to the complete non-Kähler case.

Citations

• The Self-Duality Equations on a Riemann Surface

Cited by

• L^p Liouville theorems for pluriharmonic functions on gradient Kähler-Ricci solitons

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