Yazarlar

• Alkan, Akin(1)
• Alkan, Akın(1)
• Aydin, Tuba Agirman(1)
• Aydin, Tuba agirman(1)
• Ağirman Aydin, Tuba(1)
• Hüseyin, Kocayi̇Ği̇T(1)
• Kocayigit, Huseyin(1)
• Kocayígít, Huseyin(1)
• Tosun, Ceyda(1)

• MakaleYayıncıda açık erişim2026/r/bayburt/14434
  Yİ-DARBOUX SLANT HELICES ON SURFACES

  Tosun, Ceyda; Kocayigit, Huseyin; Aydin, Tuba agirman

  In this study, a new class of surface curves, namely Yi-Darboux slant helices, is investigated. The conditions under which a surface curve is a iY-Darboux slant helix with respect to the Osculating Darboux (OD), Normal Darboux (ND), and Rectifying Darboux (RD) frames are established, and several characterizations are obtained. In particular, necessary and sufficient conditions are derived in terms of the curvature functions associated with these frames. Furthermore, relationships between iY-Darboux slant helices and classical helices and slant helices are established for special surface curves, including geodesics, asymptotic curves, and lines of curvature. Concrete examples on conical and cylindrical surfaces are also presented to illustrate the theoretical results.

  İncele
• MakaleAçık Erişim2025/r/bayburt/14448
  DIFFERENTIAL EQUATIONS CHARACTERIZATION FOR Di-DARBOUX SLANT HELICES

  Alkan, Akin; Kocayígít, Huseyin; Aydin, Tuba Agirman

  In this article, the differential equation characterizations for D-i-Darboux slant helices given with the help of three new orthogonal frames are introduced for the curves lying on a surface. These moving frames, obtained based on the Darboux frame, are called Osculating Darboux Frame, Normal Darboux Frame, and Rectifying Darboux Frame, respectively.

  AtıfWoS1·OpenAlex1

  İncele
• MakaleAçık Erişim2024Scopus SJRQ4/r/bayburt/13149
  New moving frames for the curves lying on a surface

  Alkan, Akın; Hüseyin, Kocayi̇Ği̇T; Ağirman Aydin, Tuba

  In this article, three new orthogonal frames are defined for the curves lying on a surface. These moving frames, obtained based on the Darboux frame, are called “Osculator Darboux Frame”, “Normal Darboux Frame” and “Rectifying Darboux Frame”, respectively. Also, the Osculator Darboux Frame components and curvatures are calculated for a presented example. Cite this article as: Alkan A, Kocayiğit H, Ağırman Aydın T. New moving frames for the curves lying on a surface. Sigma J Eng Nat Sci 2024;42(4):1023−1029. Copyright 2021, Yıldız Technical University.

  AtıfScopus2·WoS4·OpenAlex2

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