New representations of Bertrand pairs in Euclidean 3-space

TUNÇER Y., ÜNAL S.

Applied Mathematics and Computation, cilt.219, sa.4, ss.1833-1842, 2012 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 219 Sayı: 4
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1016/j.amc.2012.08.023
  • Dergi Adı: Applied Mathematics and Computation
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1833-1842
  • Anahtar Kelimeler: Bertrand curve, Bertrand mate curve, Slant helix, Spherical indicatrix
  • Uşak Üniversitesi Adresli: Evet

Özet

In this work, we studied the properties of the spherical indicatrices of a Bertrand curve and its mate curve and presented some characteristic properties in the cases that Bertrand curve and its mate curve are slant helices, spherical indicatrices are slant helices and we also researched that whether the spherical indicatrices made new curve pairs in the means of Mannheim, involute-evolute and Bertrand pairs. Further more, we investigated the relations between the spherical images and introduced new representations of spherical indicatrices. © 2012 Elsevier Inc. All rights reserved.