On an assertion in Riemann's Habilitationsvortrag (Q1769629)
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scientific article; zbMATH DE number 2151827
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On an assertion in Riemann's Habilitationsvortrag |
scientific article; zbMATH DE number 2151827 |
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On an assertion in Riemann's Habilitationsvortrag (English)
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4 April 2005
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Summary: We study an assertion in Riemann's Habilitation Lecture of 1854 vgl. [Über die Hypothesen, welche der Geometrie zu Grunde liegen'' (On the Hypotheses which lie at the Foundations of Geometry)]. Namely, the determination of the metric given \(n^{\frac{n-1} {2}}\) sectional curvatures. Several counter-examples to the assertion are constructed
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curvature tensor
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sectional curvatures
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