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arXiv · 1212.0446

Variétés CR polarisées et G-polarisées, partie I

Laurent Meersseman
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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.

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Laurent Meersseman. 2013-02-08. Variétés CR polarisées et G-polarisées, partie I. https://doi.org/10.1093/imrn%2Frnt153

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