Congruence theorem for 4-tuples in the Grassmann manifold \(G_2(R^8)\) (Q5944999)
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scientific article; zbMATH DE number 1655806
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Congruence theorem for 4-tuples in the Grassmann manifold \(G_2(R^8)\) |
scientific article; zbMATH DE number 1655806 |
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Congruence theorem for 4-tuples in the Grassmann manifold \(G_2(R^8)\) (English)
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29 February 2004
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This paper deals with congruence theorems for 4-tuples of points in an important example of rank two symmetric space, the Grassmann manifold \(G_2 (R^n)\). A complete set of orthogonal invariants for tetrahedra in \(G_2 (R^8)\) is given. This allows to characterise regular tetrahedra and to exhibit the existence regions of these objects in comparison with the angular invariants associated to them.
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Invariants
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trigonometry
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tetrahedra
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Grassmann manifolds
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critical angles
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