On the four-vertex theorem (Q1097522)
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scientific article; zbMATH DE number 4034543
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the four-vertex theorem |
scientific article; zbMATH DE number 4034543 |
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On the four-vertex theorem (English)
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1987
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A four-vertex theorem for closed plane curves with possible self- intersections is proved. The curves have to satisfy the additional condition that they bound a surface which is immersed into the plane. The proof uses methods from conformal differential geometry. A higher-vertex theorem is conjectured for the case of surfaces of higher genus.
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four-vertex theorem
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