The minimal marked length spectrum of Riemannian two-step nilmanifolds (Q1766491)
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scientific article; zbMATH DE number 2141497
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The minimal marked length spectrum of Riemannian two-step nilmanifolds |
scientific article; zbMATH DE number 2141497 |
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The minimal marked length spectrum of Riemannian two-step nilmanifolds (English)
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7 March 2005
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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.
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marked length spectrum
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Laplace spectrum
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Riemannian two-step nilmanifolds
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