Plurisubharmonic exhaustion functions and almost complex Stein structures
Complex Variables
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.math/0603417,
title = {Plurisubharmonic exhaustion functions and almost complex Stein structures},
author = {Klas Diederich and Alexandre Sukhov},
journal= {arXiv preprint arXiv:math/0603417},
year = {2007}
}