Back to a real world. The genesis of Casorati's last paper (Q6546633)
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scientific article; zbMATH DE number 7856058
| Language | Label | Description | Also known as |
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| English | Back to a real world. The genesis of Casorati's last paper |
scientific article; zbMATH DE number 7856058 |
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Back to a real world. The genesis of Casorati's last paper (English)
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29 May 2024
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Gauss's notion of the curvature of a surface does not always agree with the naive concept of curvature: A cylinder has Gaussian curvature \(0\) although is is ``curved''. To remedy this ``defect'', \textit{F. Casorati} [Acta Math. 14, 95--110 (1890; JFM 21.0749.03); Ist. Lombardo, Rend., II. Ser. 22, 335--346 (1889; JFM 21.0749.02)] introduced a different measure of curvature. The authors discuss Casorati's work on curvature, the reaction of the mathematical community, and a few related concepts developed in recent years.
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Gaussian curvature
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Casorati curvature
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surfaces
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measure of curvature
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theory of vision
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