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The spectrum of the Laplacian for 5-forms - MaRDI portal

The spectrum of the Laplacian for 5-forms (Q802192)

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scientific article; zbMATH DE number 3881544
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English
The spectrum of the Laplacian for 5-forms
scientific article; zbMATH DE number 3881544

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    The spectrum of the Laplacian for 5-forms (English)
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    1985
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    Let (M,g) and (M',g') be compact orientable Riemannian manifolds with the same spectrum of the Laplacian for 5-forms. We prove that, for dim M\(=7\) and dim M\(=14,15,...,432\), (M,g) is of constant curvature if and only if (M',g') is so.
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    Laplace operator
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    eigenvalues
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    Riemannian manifolds
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    spectrum
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    Laplacian
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    constant curvature
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