A non-strictly pseudoconvex domain for which the squeezing function tends to 1 towards the boundary
Journal article, Peer reviewed
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Original versionPacific Journal of Mathematics. 2018, 297 (1), 79-86. 10.2140/pjm.2018.297.79
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.