An upper bound for small eigenvalues of the Laplacian (Q1412393)
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scientific article; zbMATH DE number 2002267
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An upper bound for small eigenvalues of the Laplacian |
scientific article; zbMATH DE number 2002267 |
Statements
An upper bound for small eigenvalues of the Laplacian (English)
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10 November 2003
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Under suitable assumptions the author gives an upper bound for the eigenvalues \(\lambda_{n-1}\) and \(\lambda_{n}\) of the Laplacian of a compact Riemannian manifold of dimension \(n\) in terms of volume, injectivity radius and sectional curvature.
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Riemannian manifold
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sectional curvature
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eigenvalues
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Laplacian
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0.92306787
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0.91935194
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0.91637516
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0.9158404
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0.9117472
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0.9107551
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0.9105036
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