×

A family of compact strictly pseudoconvex hypersurfaces in \(\mathbb{C}^2\) without umbilical points. (English) Zbl 1408.32033

The authors answer a well-known question of S. S. Chern and J. Moser [Acta Math. 133, 219–271 (1974; Zbl 0302.32015)], and provide explicit examples of smooth strictly pseudoconvex domains \(\Omega\subset\mathbb{C}^2\) such that the boundary \(b\Omega\) has no umbilical points.

MSC:

32T15 Strongly pseudoconvex domains
30F45 Conformal metrics (hyperbolic, Poincaré, distance functions)
32V05 CR structures, CR operators, and generalizations

Citations:

Zbl 0302.32015
PDF BibTeX XML Cite
Full Text: DOI arXiv