Chern-Osserman inequality for minimal surfaces in a Cartan-Hadamard   manifold with strictly negative sectional curvatures
  We state and prove a Chern-Osserman Inequality in terms of the volume growth for minimal surfaces properly immersed in a Cartan-Hadamard manifold N with sectional curvatures bounded from above by a negative quantity. 
Antonio Esteve and Vicente Palmer
math.DG