An analog of the Fefferman construction
Archivum Mathematicum (2006)
- Volume: 042, Issue: 5, page 349-356
- ISSN: 0044-8753
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topWisser, Florian. "An analog of the Fefferman construction." Archivum Mathematicum 042.5 (2006): 349-356. <http://eudml.org/doc/249786>.
@article{Wisser2006,
abstract = {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.},
author = {Wisser, Florian},
journal = {Archivum Mathematicum},
keywords = {parabolic geometry; CR-structure},
language = {eng},
number = {5},
pages = {349-356},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {An analog of the Fefferman construction},
url = {http://eudml.org/doc/249786},
volume = {042},
year = {2006},
}
TY - JOUR
AU - Wisser, Florian
TI - An analog of the Fefferman construction
JO - Archivum Mathematicum
PY - 2006
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 042
IS - 5
SP - 349
EP - 356
AB - 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.
LA - eng
KW - parabolic geometry; CR-structure
UR - http://eudml.org/doc/249786
ER -
References
top- Cecil T. E., Lie Sphere Geometry, Springer–Verlag, New York, 1992. (1992) Zbl0752.53003MR1219311
- Čap A., Two constructions with parabolic geometries, Proceedings of the 25th Winter School on Geometry and Physics, Srní 2005, Rend. Circ. Mat. Palermo (2) Suppl. 79 (2006), 11–38, preprint math.DG/0504389. Zbl1120.53013MR2287124
- Sato H., Yamaguchi K., Lie contact manifolds II, Math. Ann. 297, No. 1 (1993), 33–57. (1993) Zbl0789.53021MR1238406
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