A non-strictly pseudoconvex domain for which the squeezing function tends to 1 towards the boundary
Journal article, Peer reviewed
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Date
2018Metadata
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- Institutt for matematiske fag [2527]
- Publikasjoner fra CRIStin - NTNU [38679]
Abstract
In recent work by Zimmer it was proved that if Ω ⊂ C n is a bounded convex domain with C ∞-smooth boundary, then Ω is strictly pseudoconvex provided that the squeezing function approaches one as one approaches the boundary. We show that this result fails if Ω is only assumed to be C 2 –smooth.