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

Atsushi Atsuji
From the journal Forum Mathematicum


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.

MSC 2010: 32H30; 58J65

Communicated by Junjiro Noguchi

Funding source: Japan Society for the Promotion of Science

Award Identifier / Grant number: 24540192

Funding statement: Partially supported by the Grant-in-Aid for Scientific Research (C) 24540192, Japan Society for the Promotion of Science.


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Received: 2016-02-06
Revised: 2017-02-16
Published Online: 2017-05-11
Published in Print: 2018-01-01

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