The Complex Frobenius Theorem for Rough Involutive Structures

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dc.creatorHill, C. Denson
dc.creatorTaylor, Michael
dc.date2007-10-11
dc.date2007-11-08
dc.date.accessioned2026-07-07T08:41:13Z
dc.date.available2026-07-07T08:41:13Z
dc.descriptionWe 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.
dc.descriptionIn 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
dc.identifierhttps://arxiv.org/abs/0710.2316
dc.identifierhttp://arxiv.org/abs/0710.2316
dc.identifierTrans. AMS 359 (2007), 293-322
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/141616
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.subjectComplex Variables
dc.subject35N10
dc.titleThe Complex Frobenius Theorem for Rough Involutive Structures
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