Weyl connections and curvature properties of CR manifolds
type: Item
instance of: scholarly article
title: Weyl connections and curvature properties of CR manifolds
zbMATH Open document ID: 1054.32022
author: Liana David
published in: Annals of Global Analysis and Geometry
publication date: 2004-08-20T00:00:00Z
review text: The author considers strictly pseudoconvex CR manifolds \(M\) of the hypersurface type. Denoting by \(H\) the analytic tangent bundle of \(M\), she defines a Weyl connection on \(M\) as a connection \(D\) on the line bundle \(TM/H\). She proves that to such a \(D\) one can associate in a unique way an affine connection \(\nabla\) on \(TM\), yielding for an exact \(D\) the one defined by \textit{N.Tanaka} in [A differential geometric study on strongly pseudo-convex manifolds (1975; Zbl 0331.53025)]. This construction simplifies the definition of the Chern-Moser tensor on \(M\) and makes clearer its connection with the Bochner tensor for a Sasakian CR manifold.
reviewed by: Mauro Nacinovich
Mathematics Subject Classification ID: 32V99
Mathematics Subject Classification ID: 53C07
Mathematics Subject Classification ID: 53C25
zbMATH DE Number: 2093689
zbMATH Keywords: Tanaka and Weyl connections
zbMATH Keywords: strictly pseudoconvex CR manifolds
zbMATH Keywords: hypersurface type
MaRDI profile type: Publication
DOI: 10.1023/B:AGAG.0000023204.71677.BF
description: scientific article; zbMATH DE number 2093689