Pseudo-Riemannian Geometry and invariants in General Relativity

Can we reconstruct a space-time by a projective and/or conformal structure?

31 May 2022, 10:10

45m

AR V-101 (University of Stavanger)

Speaker

Vladimir Matveev (University of Jena)

Description

The question in the title was initiated by H. Weyl at the beginning of the 20th century and later was discussed e.g. in an often cited paper of Ehlers, Pirani and Schild from 1972 or in the book of A.Z. Petrov 1969. I will explain different approaches to interesting versions of this question and will in most cases concentrate on the existence and uniqueness of such a reconstruction.

The talk is based on mutually unrelated papers with A. Trautman, E. Scholz, M. Eastwood, B. Kruglikov and V. Kiosak.