The characterizations of constant slope surfaces and Bertrand curves

BABAARSLAN M., YAYLI Y.

International Journal of Physical Sciences, cilt.6, sa.8, ss.1868-1875, 2011 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 6 Sayı: 8
  • Basım Tarihi: 2011
  • Dergi Adı: International Journal of Physical Sciences
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, CAB Abstracts, Veterinary Science Database
  • Sayfa Sayıları: ss.1868-1875
  • Anahtar Kelimeler: Bertrand curve, Constant slope surface, Helix, Spherical images
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we give some characterizations of constant slope surfaces and Bertrand curves in Euclidean 3-space. We find parametrization of constant slope surfaces for spherical images of tangent indicatrix, principal normal indicatrix, binormal indicatrix and the Darboux indicatrix of a space curve. Furthermore, we investigate Bertrand curves corresponding to constant parameter curves of constant slope surfaces. © 2011 Academic Journals.