On the connectedness of the boundary of q-complete domains

2024/07/16 by Andrist, Rafael B.
#32F10 #32F27 #32Q60 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2407.11897

Abstract

The boundary of every relatively compact Stein domain in a complex manifold of dimension at least two is connected. No assumptions on the boundary regularity are necessary. The same proofs hold also for q-complete domains, and in the context of almost complex manifolds as well.

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