Affine translation surfaces in the isotropic 3-space
| Autor: | Aydin, Muhittin Evren, Ergut, Mahmut |
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| Rok vydání: | 2016 |
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| Zdroj: | International Electronic Journal of Geometry, Volume 10, No 1, Page 21-30 (2017) |
| Druh dokumentu: | Working Paper |
| Popis: | The isotropic 3-space \mathbb{I}^{3} is a real affine 3-space endowed with the metric dx^{2}+dy^{2}. In this paper we describe Weingarten and linear Weingarten affine translation surfaces in \mathbb{I}^{3}. Further we classify the affine translation surfaces in \mathbb{I}^{3} that satisfy certain equations in terms of the position vector and the Laplace operator. Comment: 11 pages, 3 figures. All comments are welcome |
| Databáze: | arXiv |
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