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q-pseudoconvex and q-complete domains. (English) Zbl 0566.32012

Main result: If D is a domain with \(C^ 2\) boundary in a Stein manifold M and D has q-pseudoconvex boundary, then D is q-complete. The proof uses a reduction (by embedding and tubular neighbourhood) to the case \(M={\mathbb{C}}^ N\).
Reviewer: E.Ballico

MSC:

32F10 \(q\)-convexity, \(q\)-concavity
32U05 Plurisubharmonic functions and generalizations
32E10 Stein spaces
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References:

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