Complete conformal metrics with negative scalar curvature in compact Riemannian manifolds
type: Item
instance of: scholarly article
title: Complete conformal metrics with negative scalar curvature in compact Riemannian manifolds
zbMATH Open document ID: 0645.53023
DOI: 10.1215/S0012-7094-88-05616-5
author: Patricio Aviles
author: Robert McOwen
published in: Duke Mathematical Journal
publication date: 1988-01-01T00:00:00Z
review text: Investigating the solution of the Monge-Ampère equation the author proves that \(\hat M=M\setminus \Gamma\) admits a complete metric \(\hat g\) conformally equivalent to g in case \((M^ n,g)\) is a compact Riemannian manifold and \(\Gamma\) is a closed smooth submanifold of dimension \(d>n- 2/2\).
reviewed by: Thomas Friedrich
Mathematics Subject Classification ID: 53C20
Mathematics Subject Classification ID: 58J60
zbMATH DE Number: 4052477
zbMATH Keywords: conformal metrics
zbMATH Keywords: negative scalar curvature
zbMATH Keywords: Monge-Ampère equation
MaRDI profile type: Publication
cites work: A study of the singularities of solutions of a class of nonlinear elliptic partial differential equation
cites work: Conformal deformation to constant negative scalar curvature on noncompact Riemannian manifolds
cites work: Q4052566
cites work: Q5533735
cites work: Singularités éliminables d'équations elliptiques non linéaires
full work available at URL: s0012-7094-88-05616-5
OpenAlex ID: W1558274584
description: scientific article; zbMATH DE number 4052477