We characterize the biharmonic curves in the special linear group (Formula presented.). In particular, we show that all proper biharmonic curves in (Formula presented.) are helices and we give their explicit parametrizations as curves in the pseudo-Euclidean space (Formula presented.).
On the Biharmonic Curves in the Special Linear Group (Formula Presented)
Onnis, I. I.
;
2016-01-01
Abstract
We characterize the biharmonic curves in the special linear group (Formula presented.). In particular, we show that all proper biharmonic curves in (Formula presented.) are helices and we give their explicit parametrizations as curves in the pseudo-Euclidean space (Formula presented.).
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