De Sitter Space as a Computational Tool for Surfaces and Foliations

¹ Wydzial Matematyki i Informatyki, Uniwersytet Lódzki, Lódz, Poland

² Katedra Metodyki Nauczania Matematyki, Wydzial Matematyki i Informatyki, Uniwersytet Lódzki, Lód?, Poland

Abstract

The set of all spheres and hyperplanes in the Euclidean space R n+1 could be identified with the Sitter space Λ n+1 . All the conformal properties are invariant by the Lorentz form which is natural pseudo-Riemannian metric on Λ n+1 . We shall study behaviour of some surfaces and foliations as their families using computation in the de Sitter space.

KeywordsDe Sitter SpaceFolationConformal Geometry

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De Sitter Space as a Computational Tool for Surfaces and Foliations

Abstract

References (8)