Original scientific paper

Biharmonic curves in ${\widetilde{SL(2,R)}}$ space

Zlatko Erjavec orcid.org/0000-0002-9402-1069 ; University of Zagreb, Faculty of Organization and Informatics, Varaždin, Croatia
Damir Horvat ; Informatics, Varaždin, Croatia

Abstract

In this paper non-geodesic biharmonic curves in {\tiny $\widetilde{SL(2,\mathbb{R})}$} space are characterized and the statement that only proper biharmonic curves are helices is proved. Also, the explicit parametric equations of proper biharmonic helices are obtained.

Keywords

$\widetilde{SL(2; R)}$ geometry; biharmonic curves; helices

Hrčak ID:

129577

URI

https://hrcak.srce.hr/129577

Publication date:

5.12.2014.

Visits: 1.411 *