Surfaces with simple geodesics through a point (Q1339784)
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scientific article; zbMATH DE number 700399
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Surfaces with simple geodesics through a point |
scientific article; zbMATH DE number 700399 |
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Surfaces with simple geodesics through a point (English)
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8 December 1994
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The authors study compact surfaces in Euclidean space up to dimension 5 with a point through which every geodesic is a \(W\)-curve in the ambient space. They obtain characterizations of the sphere, the Clifford torus, and the Veronese surface. Compare the second author, J. Korean Math. Soc. 30, No. 2, 361-369 (1993; Zbl 0823.53004 below).
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\(W\)-curve
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characterizations of the sphere
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Clifford torus
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Veronese surface
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