Introducing Weingarten cyclic surfaces in R3 |
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| Authors: | Fathi M. Hamdoon M.A. Abd-Rabo |
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| Affiliation: | Math. Dept., Faculty of Science, Al-Azhar Univ., Assuit branch, Assiut 71524, Egypt |
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| Abstract: | In this paper, Cyclic surfaces are introduced using the foliation of circles of curvature of a space curve. The conditions on a space curve such that these cyclic surfaces are of type Weingarten surfaces or HK-quadric surfaces are obtained. Finally, some examples are given and plotted. |
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| Keywords: | Circle of curvature Weingarten surfaces 53A05 |
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