Einige Eindeutigkeitssätze in der affinen Differentialgeometrie. (Some uniqueness theorems in affine differential geometry) (Q1105836)
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scientific article; zbMATH DE number 4060229
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Einige Eindeutigkeitssätze in der affinen Differentialgeometrie. (Some uniqueness theorems in affine differential geometry) |
scientific article; zbMATH DE number 4060229 |
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Einige Eindeutigkeitssätze in der affinen Differentialgeometrie. (Some uniqueness theorems in affine differential geometry) (English)
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1988
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The paper begins with remarks on the characterization of ellipsoids by constant affine mean curvatures and on the variation of the affine surface area. The following theorem is shown: If related points of two convex surfaces have always parallel difference vectors and the same values of the first mean curvature, then they are affine images of each other.
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affine curvature integral
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Minkowski integral formula
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ellipsoids
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affine mean curvatures
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affine surface area
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convex surfaces
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