6 citations · 19 across the 9 of their papers we have counts for
6 papers · 1 filter
Twisting type N vacuums with cosmological constant
Pawel Nurowski
We provide the first examples of vacuum metrics with cosmological constant which have a twisting quadruple principal null direction.
On Penrose's `before the big bang' ideas
C. Denson Hill, Pawel Nurowski
We point out that algebraically special Einstein fields with twisting rays exhibit the basic properties of conformal Universes considered recently by Roger Penrose.
Comment on GL(2,R) geometry of 4th order ODEs
Pawel Nurowski
We describe 4th order ODEs satisfying two contact invariant conditions of Bryant in terms of the Ricci tensor of a certain gl(2,R) valued connection. We also provide nonhomogeneous…
GL(2,R) geometry of ODE's
Michal Godlinski, Pawel Nurowski
We study five dimensional geometries associated with the 5-dimensional irreducible representation of GL(2,R). These are special Weyl geometries in signature (3,2) having the struct…
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…
Conformal structures with explicit ambient metrics and conformal G_2 holonomy
Pawel Nurowski
Given a generic 2-plane field on a 5-dimensional manifold we consider its (3,2)-signature conformal metric [g] as defined in math.DG/0406400. Every conformal class [g] obtained in…