Resumen de Parabolic Weingarten surfaces in hyperbolic space
A surface in hyperbolic space H3 invariant by a group of parabolic isometries is called a parabolic surface. In this paper we investigate parabolic surfaces of H3 that satisfy a linear Weingarten relation of the form a·1 +b·2 = c or aH +bK = c, where a; b; c 2 R and, as usual, ·i are the principal curvatures, H is the mean curvature and K is de Gaussian curvature. We classify all parabolic linear Weingarten surfaces in hyperbolic space.
