Complete minimal hypersurfaces in a hyperbolic space H⁴(-1)

In this paper, we study n-dimensional complete minimal hypersurfaces in a hyperbolic space Hⁿ⁺¹(-1) of constant curvature $-1$. We prove that a $3$-dimensional complete minimal hypersurface with constant scalar curvature in H⁴(-1) satisfies S≤ 21/29 by making use of the Generalized Maximum Principle, where S denotes the squared norm of the second fundamental form of the hypersurface.