Mannheim Partner Curves in Cartan-Vranceanu 3-space

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Ceylan A., ERGİN A. A.

FILOMAT, cilt.30, sa.4, ss.1089-1095, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 30 Sayı: 4
  • Basım Tarihi: 2016
  • Doi Numarası: 10.2298/fil1604089y
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1089-1095
  • Anahtar Kelimeler: Cartan-Vranceanu space, Biharmonic curve, Mannheim mate
  • Akdeniz Üniversitesi Adresli: Evet

Özet

this paper, the Mannheim mate curves of the proper biharmonic curves in Cartan-Vranceanu 3-dimensional spaces (M,ds(l,m)(2)), with l(2) not equal 4m and m not equal 0 are studied. We give the definition of the Mannheim mate of a proper biharmonic curve and give the explicit parametric equations of that Mannheim mate curve in Cartan-Vranceanu 3-dimensional space. Moreover, we show that the distance between corresponding points of the Mannheim pairs is constant in Cartan-Vranceanu 3-dimensional spaces.