2 citations · 4 across the 15 of their papers we have counts for
4 papers · 1 filter
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…
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…
On the failure of the Poincaré Lemma for de-bar-sub-M II
C. Denson Hill, Mauro Nacinovich
We obtain very sharp results about the lack of validity of the Poincare lemma for the tangential Cauchy Riemann equations, acting on tangential forms, tangential to a CR manifold M…
Einstein's equations and the embedding of 3-dimensional CR manifolds
C. Denson Hill, Jerzy Lewandowski, Pawel Nurowski
We prove several theorems concerning the connection between the local CR embeddability of 3-dimensional CR manifolds, and the existence of algebraically special Maxwell and gravita…