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.