2 citations · 4 across the 16 of their papers we have counts for
16 papers
Intrinsic geometry of oriented congruences in three dimensions
C Denson Hill, Pawel Nurowski
Starting from the classical notion of an oriented congruence (i.e. a foliation by oriented curves) in , we abstract the notion of an oriented congruence structure. This is a 3…
Weak pseudoconcavity and the maximum modulus principle
C. Denson Hill, Mauro Nacinovich
We discuss the maximum modulus principle, and weak unique continuation, for CR functions on an abstract almost CR manifold M. We investigate these matters under the assumption of w…
The Complex Frobenius Theorem for Rough Involutive Structures
C. Denson Hill, Michael Taylor
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…
Integrability of Rough Almost Complex Structures
C. Denson Hill, Michael Taylor
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 hol…
Obstructions to generic embeddings
Judith Brinkschulte, C. Denson Hill, Mauro Nacinovich
In Grauert's paper [G] it is noted that finite dimensionality of cohomology groups sometimes implies vanishing of these cohomomogy groups. Later on Laufer formulated a zero or infi…
The Poincare lemma and local embeddability
Judith Brinkschulte, C. Denson Hill, Mauro Nacinovich
For pseudoconvex abstract CR manifolds, the validity of the Poincare Lemma for (0,1) forms implies local embeddability in C^N. The two properties are equivalent for hypersurfaces o…