Abstract
We give some Nevanlinna's theorems for value distribution of meromorphic functions on general Kähler manifolds using stochastic calculus. We also give some examples where we can give explicit estimates on the number of the omitted values.
Information
Published: 1 January 2010
First available in Project Euclid: 24 November 2018
zbMATH: 1201.32010
MathSciNet: MR2605410
Digital Object Identifier: 10.2969/aspm/05710049
Subjects:
Primary:
32H30
,
58J65
Keywords:
Brownian motion on Kähler manifolds
,
Kähler diffusion
,
meromorphic functions
,
Nevanlinna theory
,
value distribution theory
Rights: Copyright © 2010 Mathematical Society of Japan