Conformal capacities and extremal metrics
type: Item
instance of: scholarly article
title: Conformal capacities and extremal metrics
zbMATH Open document ID: 0885.53042
published in: Pacific Journal of Mathematics
publication date: 1996-12-15T00:00:00Z
review text: For all non-compact Riemannian \(n\)-manifolds \(M\) the function \(\lambda_M: M\times M\to \overline {\mathbb{R}}_+\) is defined in [\textit{J. Ferrand}, C. R. Acad. Sci., Paris, Sér. I 318, No. 3, 213-216 (1994; Zbl 0794.53024)]. It is proved here that \(\lambda_M^{1/ (1-n)}\) satisfies the triangular inequality. This result includes a Vuorinen conjecture; it follows from an extension of a classical property of extremal functions to the case of condensers with unbounded boundary components.
Mathematics Subject Classification ID: 53C20
Mathematics Subject Classification ID: 30C70
Mathematics Subject Classification ID: 31B15
Mathematics Subject Classification ID: 53A30
zbMATH DE Number: 950191
zbMATH Keywords: noncompact Riemannian \(n\)-manifold
zbMATH Keywords: triangle inequality
zbMATH Keywords: Vuorinen conjecture
zbMATH Keywords: extremal functions
zbMATH Keywords: boundary components
author: Jacqueline Lelong-Ferrand
MaRDI profile type: Publication
full work available at URL: pjm.1997.180.41
OpenAlex ID: W2128117559
DOI: 10.2140/PJM.1997.180.41
description: scientific article; zbMATH DE number 950191