Plurisubharmonic exhaustion functions and almost complex Stein structures

Details Plurisubharmonic exhaustion functions and almost complex Stein structures Plurisubharmonic exhaustion functions and almost complex Stein structures

2006-03-17

arxiv.org/abs/math/0603417v1

Mathematics

Complex Variables

Scientific paper

We prove that a relatively compact pseudoconvex domain with smooth boundary
in an almost complex manifold admits a bounded strictly plurisubharmonic
exhaustion function. We use this result for the study of convexity and
hyperbolicity properties of these domains and the contact geometry of their
boundaries.

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