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Variétés CR polarisées et G-polarisées, partie I
- Source :
- International Mathematical Research Notices, International Mathematical Research Notices, Oxford University Press, 2013, 〈10.1093/imrn/rnt153〉, RECERCAT (Dipòsit de la Recerca de Catalunya), Recercat. Dipósit de la Recerca de Catalunya, instname, International Mathematics Research Notices, International Mathematics Research Notices, Oxford University Press (OUP), 2014, 2014 (21), pp.5912-5973. ⟨10.1093/imrn/rnt153⟩, International Mathematics Research Notices, 2014, 2014 (21), pp.5912-5973. ⟨10.1093/imrn/rnt153⟩
- Publication Year :
- 2013
- Publisher :
- HAL CCSD, 2013.
-
Abstract
- Polarized and $G$-polarized CR manifolds are smooth manifolds endowed with a double structure: a real foliation $\Cal F$ (given by the action of a Lie group $G$ in the $G$-polarized case) and a transverse CR distribution $(E,J)$. Polarized means that $(E,J)$ is roughly speaking invariant by $\Cal F$. Both structures are therefore linked up. The interplay between them gives to polarized CR-manifolds a very rich geometry. In this paper, we study the properties of polarized and $G$-polarized manifolds, putting special emphasis on their deformations.<br />Comment: In French. Improved statements. Main Theorems 10.1 and 13.1 are now proved without any metric condition. Also, some remarks added, typos removed and some references added
- Subjects :
- Mathematics - Differential Geometry
[ MATH.MATH-CV ] Mathematics [math]/Complex Variables [math.CV]
Aplicacions holomòrfiques
Mathematics - Complex Variables
32G07, 58D27, 53C12, 57S25
General Mathematics
Funcions de variables complexes
010102 general mathematics
Lie group
[MATH.MATH-CV]Mathematics [math]/Complex Variables [math.CV]
517 - Anàlisi
01 natural sciences
Lie, Grups de
[ MATH.MATH-DG ] Mathematics [math]/Differential Geometry [math.DG]
[MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG]
0103 physical sciences
010307 mathematical physics
Mathematics::Differential Geometry
0101 mathematics
Invariant (mathematics)
Mathematics::Symplectic Geometry
Mathematical physics
Mathematics
Subjects
Details
- Language :
- French
- ISSN :
- 10737928 and 16870247
- Database :
- OpenAIRE
- Journal :
- International Mathematical Research Notices, International Mathematical Research Notices, Oxford University Press, 2013, 〈10.1093/imrn/rnt153〉, RECERCAT (Dipòsit de la Recerca de Catalunya), Recercat. Dipósit de la Recerca de Catalunya, instname, International Mathematics Research Notices, International Mathematics Research Notices, Oxford University Press (OUP), 2014, 2014 (21), pp.5912-5973. ⟨10.1093/imrn/rnt153⟩, International Mathematics Research Notices, 2014, 2014 (21), pp.5912-5973. ⟨10.1093/imrn/rnt153⟩
- Accession number :
- edsair.doi.dedup.....bd6c7336f92e6c1e577e9531e09a85a2