Borne explicit du nombre de tores plats isospectraux à un tore donné. (Explicit bound of the number of flat tori isospectral to a given flat torus)
type: Item
instance of: scholarly article
title: Borne explicit du nombre de tores plats isospectraux à un tore donné. (Explicit bound of the number of flat tori isospectral to a given flat torus)
zbMATH Open document ID: 0757.58040
DOI: 10.1007/BF02567081
author: Hubert Pesce
published in: Manuscripta Mathematica
publication date: 1993-01-16T00:00:00Z
full work available at URL: https://eudml.org/doc/155720
review text: The author gives an explicit bound of the number of isometry classes of flat \(n\)-dimensional tori isospectral to a given flat \(n\)-dimensional torus. The bound is expressed only in geometrical terms. In the particular case \(n=3\) the author proves that there exist 3612 of such classes.
Mathematics Subject Classification ID: 58J50
zbMATH DE Number: 91459
zbMATH Keywords: spectrum
zbMATH Keywords: flat torus
zbMATH Keywords: isometric
zbMATH Keywords: isospectral
reviewed by: Mircea Puta
MaRDI profile type: Publication
cites work: Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
cites work: Q3915683
cites work: An Introduction to the Geometry of Numbers
cites work: Lineare Relationen zwischen Darstellungsanzahlen quadratischer Formen
cites work: Positive definite quadratic forms with the same representation numbers
cites work: EIGENVALUES OF THE LAPLACE OPERATOR ON CERTAIN MANIFOLDS
cites work: The Eigenvalue Spectrum as Moduli for Flat Tori
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description: scientific article; zbMATH DE number 91459