On Joachimsthal's theorems in semi-Euclidean spaces (Q1015829)
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scientific article; zbMATH DE number 5550316
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Joachimsthal's theorems in semi-Euclidean spaces |
scientific article; zbMATH DE number 5550316 |
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On Joachimsthal's theorems in semi-Euclidean spaces (English)
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30 April 2009
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The authors obtain a relation between the curvatures of the strips in semi-Euclidean space \(E^{n}_{\nu}\) in a matrix form depending on a semi-orthogonal matrix. By using this matrix equation they give a generalization of the Joachimstal theorem in Minkowski 3-space \(E^{3}_{1}\).
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semi-Euclidean spaces
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Joachimstal's theorems
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indefinite metric
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semi-Riemannian manifold
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semi-orthogonal group
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structure equations
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