On the biharmonic curves in the special linear group SL(2,R)
classification
🧮 math.DG
keywords
curvesbiharmonicgrouplinearspecialcharacterizeexplicitgive
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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 $R^4_2$.
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