On Gromov's theorem and \(L^2\)-Hodge decomposition (Q1774638)
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scientific article; zbMATH DE number 2168595
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Gromov's theorem and \(L^2\)-Hodge decomposition |
scientific article; zbMATH DE number 2168595 |
Statements
On Gromov's theorem and \(L^2\)-Hodge decomposition (English)
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18 May 2005
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Summary: Using a functional inequality, the essential spectrum and eigenvalues are estimated for Laplace-type operators on Riemannian vector bundles. Consequently, explicit upper bounds are obtained for the dimension of the corresponding \(L^2\)-harmonic sections. In particular, some known results concerning Gromov's theorem and the \(L^2\)-Hodge decomposition are considerably improved.
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