Lagrangian surfaces of constant curvature in complex Euclidean plane (Q1885490)
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scientific article; zbMATH DE number 2114247
| Language | Label | Description | Also known as |
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| English | Lagrangian surfaces of constant curvature in complex Euclidean plane |
scientific article; zbMATH DE number 2114247 |
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Lagrangian surfaces of constant curvature in complex Euclidean plane (English)
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5 November 2004
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The article continues the author's previous papers [ibid., II. Ser. 49, No. 2, 177--297 (1997; Zbl 0877.53041)]; ibid., II. Ser. 51, No. 1, 13--20 (1999; Zbl 0986.53020)] and removes some defects in the first of them. As final result a complete classification of Lagrangian \(H\)-umbilical surfaces of constant curvature in complex Euclidean plane is given. In each of the six classes the surfaces are presented by explicit formulae.
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Lagrangian surface
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Lagrangian \(H\)-umbilical surface
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surface of constant curvature
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