An analog of the Fefferman construction. (English) Zbl 1164.32305

Wisser, Florian

Arch. Math., Brno 42, No. 5, 349-356 (2006).

Summary: 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.

MSC:

32V05

CR structures, CR operators, and generalizations

Keywords:

parabolic geometry; CR-structure