On a criterion for local embeddability of 3-dimensional CR-structures
Complex Variables
2018-03-13 v3 Differential Geometry
Abstract
We introduce a CR-invariant class of Lorentzian metrics on a circle bundle over a 3-dimensional CR-structure, which we call quasi-Fefferman metrics. These metrics generalise the Fefferman metric but allow for more control of the Ricci curvature. Our main result is a criterion for embaddability of 3-dimensional CR-structures in terms of the Ricci curvature of the quasi-Fefferman metrics in the spirit of the results by Hill et al.
Cite
@article{arxiv.1803.01535,
title = {On a criterion for local embeddability of 3-dimensional CR-structures},
author = {Masoud Ganji and Gerd Schmalz},
journal= {arXiv preprint arXiv:1803.01535},
year = {2018}
}
Comments
Corrected typos Added a reference in the abstract