Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry]
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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2018, Volume 14, Number 2, Pages 141–152
DOI: https://doi.org/10.15407/mag14.02.141 (Mi jmag694) 		 
This article is cited in 9 scientific papers (total in 9 papers)

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
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DOI: https://doi.org/10.15407/mag14.02.141
Abstract: 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.
Key words and phrases: surface of revolution, flat surface, minimal surface, Galilean 3-space.
Received: 09.01.2017
Revised: 20.06.2017
Document Type: Article
MSC: 53A10, 53A35, 53A40
Language: English
Citation: M. Dede, C. Ekici, W. Goemans, “Surfaces of revolution with vanishing curvature in Galilean 3-space”, Zh. Mat. Fiz. Anal. Geom., 14:2 (2018), 141–152
Citation in format AMSBIB
\Bibitem{DedEkiGoe18}
\by M.~Dede, C.~Ekici, W.~Goemans
\paper Surfaces of revolution with vanishing curvature in Galilean 3-space
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2018
\vol 14
\issue 2
\pages 141--152
\mathnet{http://mi.mathnet.ru/jmag694}
\crossref{https://doi.org/10.15407/mag14.02.141}
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    • This publication is cited in the following 9 articles:
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