Variétés CR polarisées et G-polarisées, partie I

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. 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.
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https://hal.archives-ouvertes.fr/hal-00761089
Submitted on : Tuesday, December 4, 2012 - 8:47:09 PM
Last modification on : Thursday, October 11, 2018 - 1:46:04 PM

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Laurent Meersseman. Variétés CR polarisées et G-polarisées, partie I. International Mathematical Research Notices, Oxford University Press, 2013, ⟨10.1093/imrn/rnt153⟩. ⟨hal-00761089⟩

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