Plurisubharmonic exhaustion functions and almost complex Stein structures
classification
🧮 math.CV
keywords
almostcomplexexhaustionplurisubharmonicadmitsboundariesboundarybounded
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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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