Slant helices in three dimensional Lie groups

Slant helices in three dimensional Lie groups

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.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Applied mathematics and computation 2013-09, Vol.221, p.672-683
Hauptverfasser: Zeki Okuyucu, O., Gök, İ., Yayli, Y., Ekmekci, N.
Format: Artikel
Sprache:eng
Schlagworte:
Computation
Curves in Lie groups
Helices
Involutes
Lie groups
Mathematical models
Slant helices
Three dimensional
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2013.07.008