A gauged Fefferman construction for partially integrable CR geometry
type: Item
instance of: scholarly article
title: A gauged Fefferman construction for partially integrable CR geometry
zbMATH Open document ID: 1201.53010
author: Felipe Leitner
published in: Journal of Geometry and Physics
publication date: 2010-07-13T00:00:00Z
review text: A Fefferman metric is defined on the total space of the canonical circle bundle of a partially integrable CR-manifold. This construction uses the generalized Tanaka-Webster connection of pseudo-Hermitian geometry. The conformal class of the Fefferman metric is a CR invariant. This is called the gauged Fefferman construction of partially integrable CR geometry.
reviewed by: Hans-Bert Rademacher
Mathematics Subject Classification ID: 53A30
Mathematics Subject Classification ID: 32V05
Mathematics Subject Classification ID: 53C25
Mathematics Subject Classification ID: 53B30
zbMATH DE Number: 5736309
zbMATH Keywords: CR-geometry
zbMATH Keywords: pseudo-Hermitian geometry
zbMATH Keywords: Fefferman construction
zbMATH Keywords: conformal geometry
MaRDI profile type: Publication
full work available at URL: j.geomphys.2010.03.009
OpenAlex ID: W2075541872
cites work: Monge-Ampère equations, the Bergman kernel, and geometry of pseudoconvex domains
cites work: Distinguished curves in pseudo-convex boundaries
cites work: The Fefferman Metric and Pseudohermitian Invariants
cites work: Q4786575
cites work: Q4812298
cites work: A bilinear form associated to contact sub-conformal manifolds
cites work: Almost CR structures, \(f\)-structures, almost product structures and associated connections
cites work: Lorentzian twistor spinors and CR-geometry
cites work: Parabolic geometries, CR-tractors, and the Fefferman construction.
cites work: Q5488832
cites work: Q4097865
cites work: Pseudo-hermitian structures on a real hypersurface
cites work: Differential geometry and analysis on CR manifolds
DOI: 10.1016/J.GEOMPHYS.2010.03.009
description: scientific article; zbMATH DE number 5736309