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 | |
| Publication status | Published - 2018 Jan 1 |
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Keywords
- Holomorphic diffusion
- Nevanlinna theory
- Value distribution theory
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics
Cite this
Nevanlinna-Type theorems for meromorphic functions on non-positively curved Kähler manifolds. / Atsuji, Atsushi.
In: Forum Mathematicum, Vol. 30, No. 1, 01.01.2018, p. 171-189.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Nevanlinna-Type theorems for meromorphic functions on non-positively curved Kähler manifolds
AU - Atsuji, Atsushi
PY - 2018/1/1
Y1 - 2018/1/1
N2 - 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.
AB - 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.
KW - Holomorphic diffusion
KW - Nevanlinna theory
KW - Value distribution theory
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U2 - 10.1515/forum-2016-0032
DO - 10.1515/forum-2016-0032
M3 - Article
VL - 30
SP - 171
EP - 189
JO - Forum Mathematicum
JF - Forum Mathematicum
SN - 0933-7741
IS - 1
ER -