De Sitter Space as a Computational Tool for Surfaces and Foliations  

作　　者：Maciej Czarnecki Szymon Walczak 

机构地区：[1]Katedra Geometrii,WydziaiMatematyki i Informatyki,UniwersytetLodzki,Lodz,Poland [2]Katedra Metodyki Nauczania Matematyki,WydziaiMatematyki i Informatyki,UniwersytetLodzki,Lodz,Poland

出　　处：《American Journal of Computational Mathematics》2013年第1期1-5,共5页美国计算数学期刊（英文）

摘　　要：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.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.

关 键 词：De Sitter Space Folation Conformal Geometry 

分 类 号：O1[理学—数学]