Parabolicity, the divergence theorem for δ-subharmonic functions and applications to the Liouville theorems for harmonic maps

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概要

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• We show that the parabolicity of a manifold is equivalent to the validity of the `divergence theorem' for some class of δ-subharmonic functions. From this property we can show a certain Liouville property of harmonic maps on parabolic manifolds. Elementary stochastic calculus is used as a main tool.

• 東北大学の論文

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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