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On Curvature Properties Of Cyclic Surfaces In Five Dimensional Euclidean Space

Posted on:2014-01-12Degree:MasterType:Thesis
Country:ChinaCandidate:J J CongFull Text:PDF
GTID:2230330395999080Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
In this paper we study cyclic surfaces in E5which is generated by equiform motions of circles. We are interested in the curvature properties of cyclic surfaces under some infinitesimal equiform motions. Precisely, we obtain the infinitesimal characterization for cyclic surfaces with constant Gauss curvature as well as with vanishing Mean curvature.
Keywords/Search Tags:Cyclic surface, Gauss curvature, Mean CUrvature, Taylor Expansion
PDF Full Text Request
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