Biharmonic curves in ${\widetilde{SL(2,R)}}$ space
Erjavec, Zlatko ; Horvat, Damir
Mathematical Communications, Tome 19 (2014) no. 1, p. 291-299 / Harvested from Mathematical Communications
Text on Mathematical Communications
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.
Publié le : 2014-10-26
Classification:  $\widetilde{SL(2,R)}$ geometry, biharmonic curves, helices,  53A40 
@article{mc507,
     author = {Erjavec, Zlatko and Horvat, Damir},
     title = {Biharmonic curves in ${\widetilde{SL(2,R)}}$ space},
     journal = {Mathematical Communications},
     volume = {19},
     number = {1},
     year = {2014},
     pages = { 291-299},
     language = {eng},
     url = {http://dml.mathdoc.fr/item/mc507}
}

Erjavec, Zlatko; Horvat, Damir. Biharmonic curves in ${\widetilde{SL(2,R)}}$ space. Mathematical Communications, Tome 19 (2014) no. 1, pp.  291-299. http://gdmltest.u-ga.fr/item/mc507/