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Null Helices And Null Slant Helices In Minkowski 3-Space

Posted on:2019-11-28Degree:MasterType:Thesis
Country:ChinaCandidate:T C LiuFull Text:PDF
GTID:2370330563453506Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
In this thesis,we study null helices and null slant helices in Minkowski 3-space and the properties of the developable surface associated with them.In chapter one,we study null helices and give a method to construct a null helix using a spacelike or timelike plane curve.Furthermore,we study the relationship between null helices and null Darboux developable surfaces.In chapter two,we study null slant helices and give the determinant condition such that a null Cartan curve becomes a null slant helix.We also define null conical geodesic curves and null unit Darboux developable surfaces.Moreover,we research the relationship between them.
Keywords/Search Tags:null helices, null slant helices, null conical geodesic curves, null Darboux developable surfaces, null unit Darboux developable surfaces
PDF Full Text Request
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