De Sitter Space as a Computational Tool for Surfaces and Foliations

DOI: 10.4236/ajcm.2013.31A001   PDF   HTML     3,385 Downloads   6,379 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.

Conflicts of Interest

The authors declare no conflicts of interest.

References

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