Abstract
We show that if the Levi form of a smooth CR manifold is degenerate in every conormal direction, then on a dense open set, the manifold is foliated by complex curves. As a consequence we show that every real analytic manifold of finite D'Angelo type can be stratified so that each stratum locally is contained in a Levi nondegenerate hypersurface.
Original language | English (US) |
---|---|
Pages (from-to) | 385-388 |
Number of pages | 4 |
Journal | Mathematische Zeitschrift |
Volume | 240 |
Issue number | 2 |
DOIs | |
State | Published - Jun 2002 |
ASJC Scopus subject areas
- General Mathematics