The Huber theorem for non-compact conformally flat manifolds
type: Item
instance of: scholarly article
title: The Huber theorem for non-compact conformally flat manifolds
zbMATH Open document ID: 1009.53031
author: Gilles Carron
author: Marc Herzlich
published in: Commentarii Mathematici Helvetici
publication date: 2002-06-17T00:00:00Z
review text: The authors show that the Huber-type conclusion is true for a complete Riemannian manifold \(M\) whose Ricci curvature belongs to \(L^{n/2}(M)\) if either \(M\) is a conformal domain with volume satisfying a growth condition in a compact Riemannian manifold or if \(M\) is conformally flat of dimension 4 and verifies some additional geometric properties. Partial results are given in other dimensions. The comparison with different results is discussed.
Mathematics Subject Classification ID: 53C21
Mathematics Subject Classification ID: 58J60
zbMATH DE Number: 1756816
zbMATH Keywords: non compact Riemannian manifolds
zbMATH Keywords: Ricci curvature
zbMATH Keywords: conformal geometry
zbMATH Keywords: compactification
zbMATH Keywords: asymptotically locally Euclidian manifolds
reviewed by: Dumitru Motreanu
MaRDI profile type: Publication
full work available at URL: s00014-002-8336-0
OpenAlex ID: W1978714123
DOI: 10.1007/S00014-002-8336-0
description: scientific article; zbMATH DE number 1756816