Cyclic surfaces in E
5
generated by equiform motions |
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| Authors: | Nassar H Abdel-All Fathi M Hamdoon |
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| Institution: | (1) Maths. Dept., Faculty of Science, Assiut University, 71516 Assiut, Egypt;(2) Institute of Geometry, Graz University of Technology, Kopernikusgasse 24, 8010 Graz, Austria |
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| Abstract: | In this paper, we study cyclic surfaces in E5
generated by equiform motions of a circle. The properties
of this cyclic surfaces up to the first order are discussed. We prove
the following new result: A cyclic 2-surfaces in E5
in general are contained in canal hypersurfaces. Finally we give an example. |
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| Keywords: | 53A05 53A17 |
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