Real-analytic coordinates for smooth strictly pseudoconvex CR-structures
| Authors | |
|---|---|
| Year of publication | 2022 |
| Type | Article in Periodical |
| Magazine / Source | Mathematical Research Letters |
| MU Faculty or unit | |
| Citation | |
| Web | |
| Doi | http://dx.doi.org/10.4310/MRL.2022.v29.n5.a7 |
| Keywords | strictly pseudoconvex hypersurfaces; CR-mappings; CR-structures; analytic regularity; change of complex structure; leaf space of foliation |
| Description | For a smooth strictly pseudoconvex hypersurface in a complex manifold, we give a necessary and sufficient condition for being CR-diffeomorphic to a real-analytic CR manifold. Our condition amounts to a holomorphic extension property for the canonically associated function expressing 2-jets of the formal Segre varieties in terms of their 1-jets. We also express this condition in equivalent terms for a Fefferman type determinant [Fe76]. |
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