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Cyclic surfaces in E 5 generated by equiform motions

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Abstract.

In this paper, we study cyclic surfaces in E 5 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 E 5 in general are contained in canal hypersurfaces. Finally we give an example.

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Authors and Affiliations

  1. Maths. Dept., Faculty of Science, Assiut University, 71516, Assiut, Egypt

    Nassar H. Abdel-All

  2. Institute of Geometry, Graz University of Technology, Kopernikusgasse 24, 8010, Graz, Austria

    Fathi M. Hamdoon

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  1. Nassar H. Abdel-All
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  2. Fathi M. Hamdoon
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Abdel-All, N.H., Hamdoon, F.M. Cyclic surfaces in E 5 generated by equiform motions. J. Geom. 79, 1–11 (2004). https://doi.org/10.1007/s00022-003-1682-2

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  • DOI: https://doi.org/10.1007/s00022-003-1682-2

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