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

I. I. Onnis; A. Passos Passamani

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

Differential Geometry 2014-04-01 v1

Authors: I. I. Onnis , A. Passos Passamani

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 $R^4_2$ .

Keywords

biharmonic curves special linear group SL(2,R) helices pseudo-Euclidean space explicit parametrizations

Cite

@article{arxiv.1403.7573,
  title  = {On the biharmonic curves in the special linear group $SL(2,R)$},
  author = {I. I. Onnis and A. Passos Passamani},
  journal= {arXiv preprint arXiv:1403.7573},
  year   = {2014}
}

Comments

14 pages

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