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

2014/03/29 by Irene I. Onnis, Onnis, I. I., Apoenã Passos Passamani +1
Mathematics · #Geometry and complex manifolds #Geometric Analysis and Curvature Flows #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.1403.7573

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 R⁴₂.

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