On the Geometry of the Second Fundamental Form of Translation Surfaces in E3
| Autor: | Munteanu, Marian Ioan, Nistor, Ana Irina |
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| Rok vydání: | 2008 |
| Předmět: | |
| Zdroj: | Houston J. Mathematics, 37 (2011) 4, 1087-1102 |
| Druh dokumentu: | Working Paper |
| Popis: | In this paper we study the second fundamental form of translation surfaces in E3. We give a non-existence result for polynomial translation surfaces in E3 with vanishing second Gaussian curvature KII. We classify those translation surfaces for which KII and H are proportional. Finally we obtain that there are no II-minimal translation surfaces in the Euclidean 3-space. Comment: 15 pages, 6 figures |
| Databáze: | arXiv |
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