The Complex Frobenius Theorem for Rough Involutive Structures
Abstract
We establish a version of the complex Frobenius theorem in the context of a complex subbundle S of the complexified tangent bundle of a manifold, having minimal regularity. If the subbundle S defines the structure of a Leviflat CRmanifold, it suffices that S be Lipschitz for our results to apply. A principal tool in the analysis is a precise version of the NewlanderNirenberg theorem with parameters, for integrable almost complex structures with minimal regularity, which builds on previous recent work of the authors.
 Publication:

arXiv eprints
 Pub Date:
 October 2007
 arXiv:
 arXiv:0710.2316
 Bibcode:
 2007arXiv0710.2316D
 Keywords:

 Mathematics  Differential Geometry;
 Mathematics  Analysis of PDEs;
 Mathematics  Complex Variables;
 35N10
 EPrint:
 In the two papers by Hill &