Slant helices in three dimensional Lie groups

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Zeki 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: Curves in Lie groups, Slant helices
• Open Archive Collection: AVESIS Open Access Collection
• Bilecik Şeyh Edebali 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. © 2013 Elsevier Inc. All rights reserved.