C. Denson Hill

Publications (2)0 Total impact

• Source

  Available from: ArXiv

  Article: The Complex Frobenius Theorem for Rough Involutive Structures

  C. Denson Hill, Michael Taylor
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  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 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.
  11/2007;
• Source

  Available from: ArXiv

  Article: Integrability of Rough Almost Complex Structures

  C. Denson Hill, Michael Taylor
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  ABSTRACT: We extend the Newlander-Nirenberg theorem to manifolds with almost complex structures that have somewhat less than Lipschitz regularity. We also discuss the regularity of local holomorphic coordinates in the integrable case, with particular attention to Lipschitz almost complex structures.
  11/2007;