A weak counterexample to the Carathéodory conjecture (Q5945501)
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scientific article; zbMATH DE number 1657000
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A weak counterexample to the Carathéodory conjecture |
scientific article; zbMATH DE number 1657000 |
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A weak counterexample to the Carathéodory conjecture (English)
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4 November 2003
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The Carathéodory conjecture states that a smooth compact strictly convex surface in the Euclidean \(3\)-space has at least two umbilic points. In the present paper a differentiable non-convex surface with a unique umbilic point is presented.
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umbilic point
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Carathéodory conjecture
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