Some facts about Eisenman intrinsic measures. II

We construct a measure hyperbolic manifold which does not admit a Hermitian metric whose Ricci curvature is negatively bounded. We construct a $\mathbf {C}$-connected Stein manifold which is not densely sub-Euclidean or Runge (in the sense of Gromov). We find some conditions under which the Eisenman intrinsic $k$-measure of a complex manifold does not change when we delete an exclusive divisor of this manifold.