Helix surfaces in the special linear group

Published 30 Jun 2013 in math.DG | (1307.0215v2)

Abstract: 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 $\mathrm{SL}(2,\r)$.

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