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Transnormal graph surfaces - MaRDI portal

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Transnormal graph surfaces (Q1339979)

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scientific article; zbMATH DE number 702465
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English
Transnormal graph surfaces
scientific article; zbMATH DE number 702465

    Statements

    Transnormal graph surfaces (English)
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    12 December 1994
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    Transnormality is a generalization of the characterizing property of constant width in Euclidean spaces stating that every normal space has only normal intersections with the surface. The authors investigate conditions under which this property is satisfied for graphs of smooth real-valued functions on \(\mathbb{R}^ 2\). In particular it is shown that certain polynomials have graphs which are not transnormal.
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    transnormality
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    graphs of real-valued functions
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    polynomials
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