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On time-like surfaces of positive constant Gaussian curvature and imaginary principal curvatures - MaRDI portal

On time-like surfaces of positive constant Gaussian curvature and imaginary principal curvatures (Q1602445)

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scientific article; zbMATH DE number 1758091
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English
On time-like surfaces of positive constant Gaussian curvature and imaginary principal curvatures
scientific article; zbMATH DE number 1758091

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    On time-like surfaces of positive constant Gaussian curvature and imaginary principal curvatures (English)
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    23 June 2002
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    We establish the Bäcklund transformation for the construction of time-like surfaces with positive Gaussian curvature and imaginary principal curvatures. The construction can be realized by an algebraic algorithm via Darboux transformations.
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    Time-like surfaces
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    Bäcklund transformations
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    Darboux transformations
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    cosh-Gordon equation
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