The Fefferman construction associates to a manifold carrying a CR–structure a conformal structure on a sphere bundle over the manifold. There are some analogs to this construction, with one giving a Lie contact structure, a refinement of the contact bundle on the bundle of rays in the cotangent bundle of a manifold with a conformal metric. Since these structures are parabolic geometries, these constructions can be dealt with in this setting.
@article{108041,
author = {Florian Wisser},
title = {An analog of the Fefferman construction},
journal = {Archivum Mathematicum},
volume = {042},
year = {2006},
pages = {349-356},
zbl = {1164.32305},
mrnumber = {2322421},
language = {en},
url = {http://dml.mathdoc.fr/item/108041}
}
Wisser, Florian. An analog of the Fefferman construction. Archivum Mathematicum, Tome 042 (2006) pp. 349-356. http://gdmltest.u-ga.fr/item/108041/
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