High Singer invariant and equality of curvature (Q1420745)
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scientific article; zbMATH DE number 2031089
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | High Singer invariant and equality of curvature |
scientific article; zbMATH DE number 2031089 |
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High Singer invariant and equality of curvature (English)
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3 February 2004
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The author of the paper under review proves, by giving explicit examples, that the Singer invariant of a locally homogeneous Riemannian manifold can become arbitrarily high. In a second step it is shown that for each \(k\in N\) there exist pairs of nonisometric homogeneous Riemannian manifolds of Singer invariant \(k\) which have the same curvature up to order \(k\).
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