### 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.

First Page:
Primary Subjects: 32H30
Secondary Subjects: 58J65
Full-text: Open access

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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