Liouville properties of plurisubharmonic functions

Details Liouville properties of plurisubharmonic functions Liouville properties of plurisubharmonic functions

2002-12-28

arxiv.org/abs/math/0212364v1

Mathematics

Differential Geometry

Scientific paper

We prove a Liouville theorem for the plurisubharmonic functions on complete
Kaelher manifolds. As the applications, we prove a splitting theorem for
complete Kaehler manifolds with nonnegative biscetional curvature in terms of
the linear growth harmonic functions and a optomal gap theorem for such
manifolds.

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