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Bäcklund theorems in three-dimensional de Sitter space and anti-de Sitter space - MaRDI portal

Bäcklund theorems in three-dimensional de Sitter space and anti-de Sitter space (Q1864925)

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scientific article; zbMATH DE number 1886793
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Bäcklund theorems in three-dimensional de Sitter space and anti-de Sitter space
scientific article; zbMATH DE number 1886793

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    Bäcklund theorems in three-dimensional de Sitter space and anti-de Sitter space (English)
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    23 March 2003
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    The \(2+1\)-dimensional de Sitter and anti de Sitter space-times are represented here as unit spheres of the \(3+1\)-dimensional Minkowski space-time. The purpose of the present paper is to deduce surfaces of constant curvature in these spaces. To this end, the Bäcklund theorems known from the Euclidean signature case are generalized.
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    de Sitter spacetime
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    Bäcklund transformation
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    Euclidean space
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