On the biharmonic curves in the special linear group $SL(2,R)$

Abstract

We characterize the biharmonic curves in the special linear group $SL(2,R)$. In particular, we show that all proper biharmonic curves in $SL(2,R)$are helices and we give their explicit parametrizations as curves in the pseudo-Euclidean space $R_2^4$.

14 pages

References in corpus (1)

• Explicit Formulas for Non-Geodesic Biharmonic Curves of the Heisenberg Group