De Sitter Space as a Computational Tool for Surfaces and Foliations

Czarnecki, Maciej and Walczak, Szymon (2013) De Sitter Space as a Computational Tool for Surfaces and Foliations. American Journal of Computational Mathematics, 03 (01). pp. 1-5. ISSN 2161-1203

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Official URL: https://doi.org/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.

Item Type:	Article
Subjects:	Open Archive Press > Mathematical Science
Depositing User:	Unnamed user with email support@openarchivepress.com
Date Deposited:	27 Jun 2023 05:06
Last Modified:	26 Sep 2025 03:51
URI:	http://printo.2promojournal.com/id/eprint/1577

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