Nevanlinna-Type theorems for meromorphic functions on non-positively curved Kähler manifolds

Atsushi Atsuji

doi:10.1515/forum-2016-0032

Nevanlinna-Type theorems for meromorphic functions on non-positively curved Kähler manifolds

Atsushi Atsuji

Department of Mathematics

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

Abstract

We give a second main theorem of Nevanlinna theory on complete non-positively curved Kähler manifolds. Its remainder term depends only on Ricci curvature of the manifolds except for the terms depending only on the characteristic functions.

Original language	English
Pages (from-to)	171-189
Number of pages	19
Journal	Forum Mathematicum
Volume	30
Issue number	1
DOIs	https://doi.org/10.1515/forum-2016-0032
Publication status	Published - 2018 Jan 1

Keywords

Holomorphic diffusion
Nevanlinna theory
Value distribution theory

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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abstract = "We give a second main theorem of Nevanlinna theory on complete non-positively curved K{\"a}hler manifolds. Its remainder term depends only on Ricci curvature of the manifolds except for the terms depending only on the characteristic functions.",

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