On models of non-Eucludian spaces generated by associative algebras
| Autor: | Trnkova, Maria |
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| Rok vydání: | 2009 |
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| Zdroj: | Acta Univ. Carol., Vol. 51, 2(2010), 37-48 |
| Druh dokumentu: | Working Paper |
| Popis: | We present the non-trivial example how to generate non-Euclidean geometries from associative unital algebras. We consider bundles of the sphere of the degenerate non-Eucleadian space and its two models. The first (conformal) model is obtained by the mapping S onto a plane pass through the origin. It is analogous to the stereographic mapping. The second model (projective) is con- structed by the Norden normalization method, where we project the sphere onto a plane of normalization defining the metric and Christoffel symbols which allow us to find geodesic curves. Comment: 11 pages, 1 figure; extended version of 0809.0946 |
| Databáze: | arXiv |
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