On Pseudospherical Smarandache Curves in Minkowski 3-Space

Main Authors: Esra Betul Koc Ozturk, Ufuk Ozturk, Kazim Ilarslan, Emilija Nešovic
Format: Article Journal
Terbitan: , 2014
Subjects:
Online Access: https://zenodo.org/record/835443
Daftar Isi:
  • In this paper we define nonnull and null pseudospherical Smarandache curves according to the Sabban frame of a spacelike curve lying on pseudosphere inMinkowski 3-space.We obtain the geodesic curvature and the expressions for the Sabban frame’s vectors of spacelike and timelike pseudospherical Smarandache curves.We also prove that if the pseudospherical null straight lines are the Smarandache curves of a spacelike pseudospherical curve α, thenα has constant geodesic curvature. Finally, we give some examples of pseudospherical Smarandache curves.