Transversally CR foliations

Abstract

We study foliations with transverse CR structure and their transverse Kohn-Rossi cohomology. For nondegenerate CR foliations with transverse pseudohermitian structure we build an adapted connection which generalizes the Webster connection of a CR foliation by points. We establish a local embeddability result for real analytic CR foliations.

Keywords

• cr foliation
• transverse levi form
• transverse webster connection
• transverse kohn-rossi cohomology