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De Sitter Space as a Computational Tool for Surfaces and Foliations

De Sitter Space as a Computational Tool for Surfaces and Foliations

The set of all spheres and hyperplanes in the Euclidean space Rn+1 could be identified with the Sitter space Λn+1. All the conformal properties are invariant by the Lorentz form which is natural pseudo-Riemannian metric on Λn+1. We shall study behaviour of some surfaces and foliations as their families using …