Effective Cartan-Tanaka connections for \(\mathcal C^6\)-smooth strongly pseudoconvex hypersurfaces \(M^3 \subset \mathbb C^2\)
type: Item
instance of: scholarly article
title: Effective Cartan-Tanaka connections for \(\mathcal C^6\)-smooth strongly pseudoconvex hypersurfaces \(M^3 \subset \mathbb C^2\)
zbMATH Open document ID: 1233.32024
author: Mansour Aghasi
author: Joël Merker
author: Masoud Sabzevari
published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris
publication date: 2011-09-22T00:00:00Z
review text: The Cartan curvature for the Tanaka connection of \(3\)-dimensional pseudoconvex hypersurfaces in \(\mathbb{C}^2\) are explicitly computed in terms of the \(6\)-th order jet of a defining function. It is shown that the vanishing of the curvature corresponds to bi-holomorphic equivalence to the sphere.
reviewed by: Mauro Nacinovich
Mathematics Subject Classification ID: 32V40
Mathematics Subject Classification ID: 32T15
zbMATH DE Number: 5949150
zbMATH Keywords: Cartan connection
zbMATH Keywords: Cartan curvature
zbMATH Keywords: pseudoconvex hypersurface
MaRDI profile type: Publication
full work available at URL: j.crma.2011.07.020
OpenAlex ID: W2963707492
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DOI: 10.1016/J.CRMA.2011.07.020
description: scientific article; zbMATH DE number 5949150