The Complex Frobenius Theorem for Rough Involutive Structures
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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 Levi-flat CR-manifold, it suffices that S be Lipschitz for our results to apply. A principal tool in the analysis is a precise version of the Newlander-Nirenberg theorem with parameters, for integrable almost complex structures with minimal regularity, which builds on previous recent work of the authors.
In the two papers by Hill & Taylor, we have adjusted the page height so that the arxiv does not cut off the bottom two lines of each page, being unable to digest our amstex
In the two papers by Hill & Taylor, we have adjusted the page height so that the arxiv does not cut off the bottom two lines of each page, being unable to digest our amstex