Slant helices in three dimensional Lie groups

Okuyucu, O.; GÖK, İSMAİL; Yayli, Y.; Ekmekci, N.

doi:10.1016/j.amc.2013.07.008

Slant helices in three dimensional Lie groups

Okuyucu O. Z., GÖK İ., Yayli Y., Ekmekci N.

APPLIED MATHEMATICS AND COMPUTATION, vol.221, pp.672-683, 2013 (SCI-Expanded, Scopus)

Publication Type: Article / Article
Volume: 221
Publication Date: 2013
Doi Number: 10.1016/j.amc.2013.07.008
Journal Name: APPLIED MATHEMATICS AND COMPUTATION
Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Page Numbers: pp.672-683
Keywords: Slant helices, Curves in Lie groups, HYPERSURFACES
Open Archive Collection: AVESIS Open Access Collection
Ankara University Affiliated: Yes

Abstract

In this paper, we define slant helices in three dimensional Lie groups with a bi-invariant metric and obtain a characterization of slant helices. Moreover, we give some relations between slant helices and their involutes, spherical images. (C) 2013 Elsevier Inc. All rights reserved.