arXiv subjects

A. Passos Passamani

Publications and source records attributed to A. Passos Passamani.

2 recordsLinked to original sources

arXiv2015

Helix surfaces in the special linear group

We characterize helix surfaces (constant angle surfaces) in the special linear group $\mathrm{SL}(2,\r)$. In particular, we give an explicit local description of these surfaces in terms of a suitable curve and a 1-parameter family of isometries of $\mathrm{SL}(2,\r)$.

math.DG↗

arXiv2014

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

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 $R^4_2$.

math.DG↗