Osculating hyperplanes and asymptotic directions of codimension two submanifolds of Euclidean spaces (Q1125240)
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scientific article; zbMATH DE number 1374917
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Osculating hyperplanes and asymptotic directions of codimension two submanifolds of Euclidean spaces |
scientific article; zbMATH DE number 1374917 |
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Osculating hyperplanes and asymptotic directions of codimension two submanifolds of Euclidean spaces (English)
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21 August 2000
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In this interesting paper, the authors define the binormal and the asymptotic directions for submanifolds embedded with codimension 2 into Euclidean spaces. Necessary conditions are obtained, in terms of the existence of such directions, for the convexity and the sphericity of these submanifolds.
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binormal
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asymptotic directions
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