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

Zlatko Erjavec, Damir Horvat

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

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ISSN: 1331-0623 (Print), 1848-8013 (Online)