A family of compact strictly pseudoconvex hypersurfaces in C^2 without umbilical points
Item Type:Journal Article
Citation:Ebenfelt, P., Ngoc Son, D. & Zaitsev, D., A family of compact strictly pseudoconvex hypersurfaces in C2 without umbilical points, Mathematical Research Letters, 25, 1, 2018, 75-84
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We prove the following: For ϵ>0, let Dϵ be the bounded strictly pseudoconvex domain in ℂ2 given by (log|z|)2+(log|w|)2<ϵ2. The boundary Mϵ:=∂Dϵ⊂ℂ2 is a compact strictly pseudoconvex CR manifold without umbilical points. This resolves a long-standing question in complex analysis that goes back to the work of S.-S. Chern and J. K. Moser in 1974.
Type of material:Journal Article
Series/Report no:Mathematical Research Letters;
Availability:Full text available