New notion of index for hedgehogs of \(\mathbb R^3\) and applications (Q973092)
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scientific article; zbMATH DE number 5713499
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | New notion of index for hedgehogs of \(\mathbb R^3\) and applications |
scientific article; zbMATH DE number 5713499 |
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New notion of index for hedgehogs of \(\mathbb R^3\) and applications (English)
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28 May 2010
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Hedgehogs describe as hypersurfaces (formal) Minkowski differences of convex bodies or closed convex hypersurfaces. The author gives a brief survey of hedgehog theory and a short introduction to the Minkowski problem for hedgehogs and to the problem of search for Sturm-Hurwitz type theorems. Finally, he introduces a new notion of index for hedgehogs with first geometrical applications.
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hedgehogs
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differences of convex bodies
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Minkowski problem
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convex surfaces
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0.8391355
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