A second main theorem of Nevanlinna theory for meromorphic functions on complete Kähler manifolds
Atsushi ATSUJI
Source: J. Math. Soc. Japan Volume 60, Number 2
(2008), 471-493.
Abstract
We show that a second main theorem of Nevanlinna theory holds for meromorphic functions on general complete Kähler manifolds. It is well-known in classical Nevanlinna theory that a meromorphic function whose image grows rapidly enough can omit at most two points. Our second main theorem implies this fact holds for meromorphic functions on general complete Kähler manifolds.
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Keywords: Nevanlinna theory; Brownian motion on Kähler manifolds; Kähler diffusion; value distribution theory for meromorphic functions
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Permanent link to this document: http://projecteuclid.org/euclid.jmsj/1212156659
Digital Object Identifier: doi:10.2969/jmsj/06020471
Zentralblatt MATH identifier: 1145.32008
Mathematical Reviews number (MathSciNet): MR2421985
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