Typical convex curves on convex surfaces (Q578587)
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scientific article; zbMATH DE number 4013431
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Typical convex curves on convex surfaces |
scientific article; zbMATH DE number 4013431 |
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Typical convex curves on convex surfaces (English)
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1987
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In the sense of Baire categories, most convex curves on a smooth two- dimensional closed convex surface are smooth. Moreover, if the set of all closed geodesics has empty interior in the space of all convex curves, then most convex curves are strictly convex.
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typical convex curves
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convex surface
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