Surfaces of Revolution with Vanishing Curvature in Galilean 3-Space

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 w...

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Datum:2018
Hauptverfasser: Dede, M., Ekici, C., Goemans, W.
Format: Artikel
Sprache:English
Veröffentlicht: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2018
Schriftenreihe:Журнал математической физики, анализа, геометрии
Online Zugang:http://dspace.nbuv.gov.ua/handle/123456789/145865
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Surfaces of Revolution with Vanishing Curvature in Galilean 3-Space / M. Dede, C. Ekici, W. Goemans // Журнал математической физики, анализа, геометрии. — 2018. — Т. 14, № 2. — С. 141-152. — Бібліогр.: 13 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Zusammenfassung: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.