De Sitter Space as a Computational Tool for Surfaces and Foliations

Maciej Czarnecki, Szymon Walczak

Katedra Metodyki Nauczania Matematyki, Wydzial Matematyki i Informatyki, Uniwersytet Lódzki, Lód?, Poland.
Wydzial Matematyki i Informatyki, Uniwersytet Lódzki, Lódz, Poland.

DOI: 10.4236/ajcm.2013.31A001                

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.

Keywords

De Sitter Space; Folation; Conformal Geometry

Conflicts of Interest

The authors declare no conflicts of interest.

References

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