Two constructions with parabolic geometries
Čap, Andreas
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Čap, Andreas
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Purcaru, Monica (1999)
Balkan Journal of Geometry and its Applications (BJGA)
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Florian Wisser (2006)
Archivum Mathematicum
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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.
Oldřich Kowalski (1971)
Commentationes Mathematicae Universitatis Carolinae
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