Foliations by complex curves and the geometry of real surfaces of finite type

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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 languageEnglish (US)
Pages (from-to)385-388
Number of pages4
JournalMathematische Zeitschrift
Volume240
Issue number2
DOIs
StatePublished - Jun 2002

ASJC Scopus subject areas

  • Mathematics(all)

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