Publication details

On Symmetric CR Geometries of Hypersurface Type

Authors

GREGOROVIC Jan ZALABOVÁ Lenka

Year of publication 2019
Type Article in Periodical
Magazine / Source JOURNAL OF GEOMETRIC ANALYSIS
MU Faculty or unit

Faculty of Science

Citation
Web https://link.springer.com/article/10.1007/s12220-018-00110-1#Bib1
Doi http://dx.doi.org/10.1007/s12220-018-00110-1
Keywords CR geometry; Homogeneous manifold; Webster metric
Description We study non-degenerate CR geometries of hypersurface type that are symmetric in the sense that, at each point, there is a CR transformation reversing the CR distribution at that point. We show that such geometries are either flat or homogeneous. We show that non-flat non-degenerate symmetric CR geometries of hypersurface type are covered by CR geometries with a compatible pseudo-Riemannian metric preserved by all symmetries. We construct examples of simply connected flat non-degenerate symmetric CR geometries of hypersurface type that do not carry a pseudo-Riemannian metric compatible with the symmetries.
Related projects:

You are running an old browser version. We recommend updating your browser to its latest version.

More info