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Some Characterizations of Isotropic Curves In the Euclidean Space
Abstract:The curves, of which the square of the distance between the two points equal to zero, are called minimal or isotropic curves . In this work, first, necessary and sufficient conditions to be a Pseudo Helix, which is a special case of such curves, are presented. Thereafter, it is proven that an isotropic curve-s position vector and pseudo curvature satisfy a vector differential equation of fourth order. Additionally, In view of solution of mentioned equation, position vector of pseudo helices is obtained.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1055397Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1490
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