Speaker
Arman Taghavi-Chabert
(University of Warsaw)
Description
Any four-dimensional conformal manifold of Lorentzian signature equipped with a twisting non-shearing congruence of null geodesics can locally be constructed on a circle bundle over a three-dimensional contact Cauchy-Riemann (CR) manifold. We describe families of such conformal structures that admit metrics with prescribed Ricci tensor. In particular, we show how the existence of an Einstein metric contained in such a conformal class can be characterised in terms of CR data.
Primary author
Arman Taghavi-Chabert
(University of Warsaw)
