[en] We provide an extension of the Gromov--Zimmer Embedding Theorem for Cartan
geometries of [3] to tractor bundles carrying any invariant connection,
including tractor connections and prolongation connections of first BGG
operators for parabolic geometries. As an application, we prove a rigidity
result for conformal actions of special pseudo-unitary groups on closed, simply
connected, analytic pseudo-Riemannian manifolds.
Disciplines :
Mathematics
Author, co-author :
MELNICK, Karin ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Mathematics (DMATH)
Neusser, Katharina; Masaryk University > Mathematics
Language :
English
Title :
An Embedding Theorem for tractor bundles, and an application in conformal pseudo-Riemannian geometry
