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 |
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Pages (from-to) | 119-138 |
Number of pages | 20 |
Journal | Potential Analysis |
Volume | 29 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2008 Sep |
Keywords
- Brownian motion on manifolds
- Holomorphic map
- Meromorphic function
- Minimal submanifold
- Nevanlinna theory
ASJC Scopus subject areas
- Analysis