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