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

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概要

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• 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.

• 社団法人 日本数学会の論文
• 2008-04-01

著者

• Atsuji Atsushi

  Keio University

関連論文

• A second main theorem of Nevanlinna theory for meromorphic functions on complete Kahler manifolds
• Parabolicity, the divergence theorem for δ-subharmonic functions and applications to the Liouville theorems for harmonic maps

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