De Sitter Space as a Computational Tool for Surfaces and Foliations

• 作者: Maciej Czarnecki Szymon Walczak
• 来源期刊: 美国计算数学期刊(英文)
• 学科: 数学
• 关键词: De SITTER Space Folation CONFORMAL GEOMETRY
• 年，卷（期）: 2013,（1）
• 页码范围: 1-5
• 页数: 5页
• 分类号: O1

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.