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

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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 languageEnglish
Pages (from-to)119-138
Number of pages20
JournalPotential Analysis
Volume29
Issue number2
DOIs
Publication statusPublished - 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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