  In hyperbolic space $H^n$ we set a geodesic ball of radius $\rho$. Consider a
$k$ dimensional minimal submanifold passing through the origin of the geodesic
ball with boundary lies on the boundary of that geodesic ball. We prove that
its area is no less than the totally geodesic $k$ dimensional submanifold
passing through the origin in that geodesic ball. This is a partial
generalization of the corresponding problem in $R^n$.
