%0 Journal Article
%T De Sitter Space as a Computational Tool for Surfaces and Foliations
%A Maciej Czarnecki
%A Szymon Walczak
%J American Journal of Computational Mathematics
%P 1-5
%@ 2161-1211
%D 2013
%I Scientific Research Publishing
%R 10.4236/ajcm.2013.31A001
%X <p align=\"justify\">
	<span style=\"font-family:Verdana;\">The set of all spheres and hyperplanes in the Euclidean space </span><span><span style=\"font-family:Verdana;\">R</span><sup><span style=\"font-family:Verdana;\">n+1</span></sup></span><span style=\"font-family:Verdana;\"> could be identified with the Sitter space </span><span style=\"font-family:Verdana;\">ĻĢ</span><sup><span style=\"font-family:Verdana;\">n+1</span></sup><span style=\"font-family:Verdana;\">. All the conformal properties are invariant by the Lorentz form which is natural pseudo-Riemannian metric on </span><span style=\"font-family:Verdana;\">ĻĢ</span><sup><span style=\"font-family:Verdana;\">n+1</span></sup><span style=\"font-family:Verdana;\">. We shall study behaviour of some surfaces and foliations as their families using computation in the de Sitter space.</span><span></span> 
</p>
%K De Sitter Space
%K Folation
%K Conformal Geometry
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=30726