The Explicit Determinations Of Dual Plane Curves And Dual Helices In Terms Of Its Dual Curvature And Dual Torsion

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Lee Jae Won; Choi Jin Ho; Jin Dae Ho;
  • Publisher: De Gruyter
  • Journal: Demonstratio Mathematica (issn: 0420-1213, eissn: 2391-4661)
  • Publisher copyright policies & self-archiving
  • Related identifiers: doi: 10.2478/dema-2014-0013
  • Subject: slant helix | Mathematics | dual curvature and torsion | dual curves | dual slant helix | QA1-939
    arxiv: Mathematics::Differential Geometry | Quantitative Biology::Biomolecules

In this paper, we give the explicit determinations of dual plane curves, general dual helices and dual slant helices in terms of its dual curvature and dual torsion as a fundamental theory of dual curves in a dual 3-space
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