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Annals of Global Analysis and Geometry

, Volume 55, Issue 4, pp 623–629 | Cite as

A Liouville theorem on complete non-Kähler manifolds

  • Yuang Li
  • Chuanjing ZhangEmail author
  • Xi Zhang
Article
  • 82 Downloads

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.

Keywords

Holomorphic function Gauduchon manifold Liouville theorem 

Mathematics Subject Classification

53C55 53C07 58E20 

Notes

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Copyright information

© Springer Nature B.V. 2018

Authors and Affiliations

  1. 1.School of Mathematical SciencesUniversity of Science and Technology of ChinaAnhuiPeople’s Republic of China

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