## Journal of the Mathematical Society of Japan

### A second main theorem of Nevanlinna theory for meromorphic functions on complete Kähler manifolds

Atsushi ATSUJI

#### 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.

#### Article information

Source
J. Math. Soc. Japan Volume 60, Number 2 (2008), 471-493.

Dates
First available in Project Euclid: 30 May 2008

http://projecteuclid.org/euclid.jmsj/1212156659

Digital Object Identifier
doi:10.2969/jmsj/06020471

Zentralblatt MATH identifier
1145.32008

Mathematical Reviews number (MathSciNet)
MR2421985

#### Citation

ATSUJI, Atsushi. A second main theorem of Nevanlinna theory for meromorphic functions on complete Kähler manifolds. J. Math. Soc. Japan 60 (2008), no. 2, 471--493. doi:10.2969/jmsj/06020471. http://projecteuclid.org/euclid.jmsj/1212156659.

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