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has been cited by the following article:
TITLE: De Sitter Space as a Computational Tool for Surfaces and Foliations
AUTHORS: Maciej Czarnecki, Szymon Walczak
KEYWORDS: De Sitter Space; Folation; Conformal Geometry
JOURNAL NAME: American Journal of Computational Mathematics, Vol.3 No.1A, April 30, 2013
ABSTRACT: 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 computation in the de Sitter space.