Centroaffine differential geometry: Submanifolds of codimension 2 (Q1105837)
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scientific article; zbMATH DE number 4060230
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Centroaffine differential geometry: Submanifolds of codimension 2 |
scientific article; zbMATH DE number 4060230 |
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Centroaffine differential geometry: Submanifolds of codimension 2 (English)
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1988
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The affine differential geometry of m-surfaces (m\(\geq 2)\) in a vector space \(V^{m+2}\) with determinant form is developed in a form similar to the equiaffine theory of hypersurfaces of Blaschke and Berwald to which it reduces for surfaces lying in a hyperplane. It is shown that for \(m\geq 3\) all forms depend on two fundamental forms. Centroaffine spheres of codimension 2 are characterized (for \(m=2\) they are ellipsoids).
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centroaffine geometry
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apolarity
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theorem of Maschke
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theorem of Deicke
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Centroaffine spheres
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codimension 2
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