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Эта публикация цитируется в 9 научных статьях (всего в 9 статьях)
Surfaces of revolution with vanishing curvature in Galilean 3-space
M. Dedea, C. Ekicib, W. Goemansc a Kilis 7 Aralık University, Department of Mathematics, Kilis, 79000, Turkey
b Eskişehir Osmangazi University, Department of Mathematics-Computer, Eskişehir, 26480, Turkey
c KU Leuven, Faculty of Economics and Business, Brussels, 1000, Belgium
Аннотация:
In the paper, three types of surfaces of revolution in the Galilean 3-space are defined and studied. The construction of the well-known surface of revolution, defined as the trace of a planar curve rotated about an axis in the supporting plane of the curve, is given for the Galilean 3-space. Then we classify the surfaces of revolution with vanishing Gaussian curvature or vanishing mean curvature in the Galilean 3-space.
Ключевые слова и фразы:
surface of revolution, flat surface, minimal surface, Galilean 3-space.
Поступила в редакцию: 09.01.2017 Исправленный вариант: 20.06.2017
Образец цитирования:
M. Dede, C. Ekici, W. Goemans, “Surfaces of revolution with vanishing curvature in Galilean 3-space”, Журн. матем. физ., анал., геом., 14:2 (2018), 141–152
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/jmag694 https://www.mathnet.ru/rus/jmag/v14/i2/p141
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Страница аннотации: | 227 | PDF полного текста: | 65 | Список литературы: | 22 |
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