Relatively equivalent representations and isospectral Riemannian manifolds
type: Item
instance of: scholarly article
title: Relatively equivalent representations and isospectral Riemannian manifolds
zbMATH Open document ID: 0871.58012
DOI: 10.1007/BF02566419
author: Hubert Pesce
published in: Commentarii Mathematici Helvetici
publication date: 1996-10-28T00:00:00Z
full work available at URL: https://eudml.org/doc/140399
review text: The author establishes a generalization of a result of \textit{T. Sunada} [Ann. Math., II. Ser. 121, 169-186 (1985; Zbl 0585.58047)] about the construction of isospectral manifolds which are nonisometric. The condition given by the author is weaker than the one used by T. Sunada and is also formulated in terms of equivalence of representations. This condition, in some cases, is a condition necessary and sufficient under which two locally isometric manifolds are isospectral.
Mathematics Subject Classification ID: 58C40
Mathematics Subject Classification ID: 58J50
zbMATH DE Number: 919898
zbMATH Keywords: Laplace-Beltrami operator
zbMATH Keywords: isospectral manifolds
zbMATH Keywords: isometric Riemannian manifolds
reviewed by: Enrique Outerelo
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 919898