Geodesic
An analog of the Fefferman construction
Archivum mathematicum, Tome 42 (2006) no. 5, pp. 349-356

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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.
Classification : 32Vxx 
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     author = {Wisser, Florian},
     title = {An analog of the {Fefferman} construction},
     journal = {Archivum mathematicum},
     pages = {349--356},
     publisher = {mathdoc},
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     number = {5},
     year = {2006},
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     zbl = {1164.32305},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2006__42_5_a21/}
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Wisser, Florian. An analog of the Fefferman construction. Archivum mathematicum, Tome 42 (2006) no. 5, pp. 349-356. http://geodesic.mathdoc.fr/item/ARM_2006__42_5_a21/