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The Geometric Properties Of Cylindrical Helix In Minkowski 3-space

Posted on:2007-11-25Degree:MasterType:Thesis
Country:ChinaCandidate:G Y ZhaoFull Text:PDF
GTID:2120360182999278Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
As the sub-space of four dimensional Minkowski space, The three dimensional Minkow-ski space have many properties which are different from three-dimensional Euclidean space.si-nce it has three kinds of different vectors,and has the lightcone especially.Therefore it will has the very important practical significance to study the special curve in it. As far as I know.there have been no papers which have investigated Minkowski cylindrical helix and the constructive method of it so far.In this paper,our major study is to give the definition of Minkowski cylindrical helix and in indicators 1 in three-dimensional pseudo-Euclidean space(that is , three-dimensional Minkowski space) , and study the definition of equivalence of Minkowski cylindrical helix , and give the constructive method of plane curve and Minkowski cylindrical helix each other,that is how to use one to construct another.
Keywords/Search Tags:Darboux type vector, Minkowski cylindrical helix, singularities.
PDF Full Text Request
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