On the centralizer of the Laplacian of \(P_ n(C)\) and the spectrum of complex Grassmann manifold \(G_{2,n-1}(C)\) (Q1064548)
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scientific article; zbMATH DE number 3919238
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the centralizer of the Laplacian of \(P_ n(C)\) and the spectrum of complex Grassmann manifold \(G_{2,n-1}(C)\) |
scientific article; zbMATH DE number 3919238 |
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On the centralizer of the Laplacian of \(P_ n(C)\) and the spectrum of complex Grassmann manifold \(G_{2,n-1}(C)\) (English)
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1985
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The authors prove that the centralizer of the Laplacian on complex projective space is the subalgebra generated by all Killing vector fields. They also calculate explicitly the spectrum of the Laplacian on the Grassmannian \(G(2,n-1,C)\) with the canonical invariant metric.
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Laplacian
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complex projective space
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spectrum
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Grassmannian
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invariant metric
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0.90101904
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0.85668606
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0.85496414
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0.8543861
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