A second main theorem of Nevanlinna theory for meromorphic functions on complex submanifolds in Cn

Atsushi Atsuji

doi:10.1007/s11118-008-9091-7

A second main theorem of Nevanlinna theory for meromorphic functions on complex submanifolds in Cⁿ

Atsushi Atsuji

Department of Mathematics

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

Abstract

We show a second main theorem of Nevalinna theory for meromorphic functions on complex submanifolds in Cⁿ . This has a similar form to the classical one and has a remainder term including Ricci curvature. We also give a concrete computation of the remainder term in the case of nonsingular algebraic submanifolds.

Original language	English
Pages (from-to)	119-138
Number of pages	20
Journal	Potential Analysis
Volume	29
Issue number	2
DOIs	https://doi.org/10.1007/s11118-008-9091-7
Publication status	Published - 2008 Sep 1

Keywords

Brownian motion on manifolds
Holomorphic map
Meromorphic function
Minimal submanifold
Nevanlinna theory

ASJC Scopus subject areas

Analysis

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