A Survey for some Special Curves in Isotropic Space I13
Published: 2013-06-03
Page: 321-329
Issue: 2013 - Volume 3 [Issue 4]
Alper Osman Ogrenmis *
Department of Mathematics, Faculty of Science, Firat University, Elazig / TURKEY
Mihriban Kulahci
Department of Mathematics, Faculty of Science, Firat University, Elazig / TURKEY
Mehmet Bektas
Department of Mathematics, Faculty of Science, Firat University, Elazig / TURKEY
*Author to whom correspondence should be addressed.
Abstract
In this paper, curves of AW(k)-type in isotropic space 
are defined. Using Frenet frames in isotropic space 
, curvature conditions of AW(k)-type curves are given. In addition, new characterizations of Bertrand and Mannheim curves are obtained.
Keywords: Isotropic space, frenet frame, bertrand curves, mannheim curves, curvature, torsion