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Bäcklund transformation on surfaces with \(K=-1\) in \(\mathbb{R}^{2,1}\) - MaRDI portal

Bäcklund transformation on surfaces with \(K=-1\) in \(\mathbb{R}^{2,1}\) (Q1362536)

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scientific article; zbMATH DE number 1044036
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English
Bäcklund transformation on surfaces with \(K=-1\) in \(\mathbb{R}^{2,1}\)
scientific article; zbMATH DE number 1044036

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    Bäcklund transformation on surfaces with \(K=-1\) in \(\mathbb{R}^{2,1}\) (English)
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    9 April 2000
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    The author generalizes the Bäcklund theorem to surfaces with Gaussian curvature \(K=-1\) in a 3-dimensional Minkowski space. As an illustration the Bäcklund transformation between the spacelike surface with \(K=-1\) and the timelike surface with \(K=-1\) is given.
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    Bäcklund transformation
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    curved Minkowski space
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    solitons
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