Smarandache Curves in three dimensional Lie groups

Authors : O Zeki OKUYUCU, Caner DEĞİRMEN, Ö Gökmen YILDIZ

Pages : 1175-1185

Doi:10.31801/cfsuasmas.511677

View : 14 | Download : 11

Publication Date : 2019-02-01

Article Type : Research Paper

Abstract :In this paper, we introduce special Smarandache curves and obtain Frenet apparatus of a Smarandache curve in three dimensional Lie groups with a bi-invariant metric. Moreover, we give some relations between a helix or a slant helix curve and its Smarandache curve in three dimensional Lie groups.
Keywords : Smarandache curves, Lie groups, helices