Small eigenvalues on \(p\)-forms for collapsings of the even-dimensional spheres (Q1849598)
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scientific article; zbMATH DE number 1837307
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Small eigenvalues on \(p\)-forms for collapsings of the even-dimensional spheres |
scientific article; zbMATH DE number 1837307 |
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Small eigenvalues on \(p\)-forms for collapsings of the even-dimensional spheres (English)
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1 December 2002
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The author deals with the Laplacian acting on differential forms. He proves that for some \(p\) there exist small eigenvalues of the Laplacian on \(p\)-forms for collapsings of the even dimensional spheres with curvature bounded below. The min-max principle for a pull-back of a harmonic form on the limit space as a test form is used for proving it, as well as the collapsings constructed by T. Yamaguchi.
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Laplacian
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\(p\)-form
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even-dimensional spheres
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