%0 Journal Article %T Hyperbolic surfaces of $L_1$-2-type %J Bulletin of the Iranian Mathematical Society %I Iranian Mathematical Society (IMS) %Z 1017-060X %A Lucas, P. %A Ramírez-Ospina, H.F. %D 2017 %\ 11/30/2017 %V 43 %N 6 %P 1769-1779 %! Hyperbolic surfaces of $L_1$-2-type %K Hyperbolic surface‎ %K ‎Cheng-Yau operator‎ %K ‎$L_1$-finite-type surface‎ %K ‎$L_1$-biharmonic surface‎ %K ‎Newton transformation %R %X In this paper, we show that an $L_1$-2-type surface in the three-dimensional hyperbolic space $H^3\subset R^4_1$ either is an open piece of a standard Riemannian product $ H^1(-\sqrt{1+r^2})\times S^{1}(r)$, or it has non constant mean curvature, non constant Gaussian curvature, and non constant principal curvatures. %U http://bims.iranjournals.ir/article_1062_5af9f5b2ebe4719b4560a0e48f304949.pdf