American Journal of Computational Mathematics

Volume 3, Issue 1 (April 2013)

ISSN Print: 2161-1203   ISSN Online: 2161-1211

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De Sitter Space as a Computational Tool for Surfaces and Foliations

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DOI: 10.4236/ajcm.2013.31A001    3,544 Downloads   6,511 Views  Citations

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.

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M. Czarnecki and S. Walczak, "De Sitter Space as a Computational Tool for Surfaces and Foliations," American Journal of Computational Mathematics, Vol. 3 No. 1A, 2013, pp. 1-5. doi: 10.4236/ajcm.2013.31A001.

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[1] Lorentz Manifolds
2017

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