Some properties of subharmonic functions on complete Riemannian manifolds and their geometric applications

Zonglao Zhang; Zongben Xu

doi:10.1215/kjm/1250283587

Some properties of subharmonic functions on complete Riemannian manifolds and their geometric applications

Zonglao Zhang
, Zongben Xu

School of Mathematics and Statistics

Xi'an Jiaotong University

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

This paper investigates the global behavior of subharmonic functions on a complete noncompact simply-connected Riemannian manifold. The authors obtain some Liouville-type theorems, a comparison theorem for the strong parabolicity of a manifold and their applications to geometry.

Original language	English
Pages (from-to)	173-180
Number of pages	8
Journal	Kyoto Journal of Mathematics
Volume	44
Issue number	1
DOIs	https://doi.org/10.1215/kjm/1250283587
State	Published - Jun 2004

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abstract = "This paper investigates the global behavior of subharmonic functions on a complete noncompact simply-connected Riemannian manifold. The authors obtain some Liouville-type theorems, a comparison theorem for the strong parabolicity of a manifold and their applications to geometry.",

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JO - Kyoto Journal of Mathematics

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Some properties of subharmonic functions on complete Riemannian manifolds and their geometric applications

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