The minimal marked length spectrum of Riemannian two-step nilmanifolds
type: Item
instance of: scholarly article
title: The minimal marked length spectrum of Riemannian two-step nilmanifolds
zbMATH Open document ID: 1086.53061
author: Ruth Gornet
author: Maura B. Mast
published in: Michigan Mathematical Journal
publication date: 2005-03-07T00:00:00Z
review text: The authors investigate the minimal marked length spectrum and the Laplace spectrum on functions and on forms for compact Riemannian two-step nilmanifolds. For a generic class of two-step manifolds the following is proved as main result: If a pair of such manifolds in this class has the same minimal marked length spectrum then the nilmanifolds have the same Laplace spectrum on functions and on forms.
reviewed by: Gerhard Knieper
Mathematics Subject Classification ID: 53C22
Mathematics Subject Classification ID: 22E25
Mathematics Subject Classification ID: 58J50
zbMATH DE Number: 2141497
zbMATH Keywords: marked length spectrum
zbMATH Keywords: Laplace spectrum
zbMATH Keywords: Riemannian two-step nilmanifolds
Wikidata QID: Q115238970
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1307/mmj/1100623420
OpenAlex ID: W1973219040
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DOI: 10.1307/MMJ/1100623420
description: scientific article; zbMATH DE number 2141497