0 many and of several different types: --
1 a pipe or closed space in a machine that has several openings, allowing liquids and gases to enter and leave --
2 many and of different types: --
Our organization’s problems are manifold – too few members, too little money, and poor management.
We study the growth of unstable manifolds of automorphisms of complex surfaces.
Since any quasi-isometry between negatively curved simply connected manifolds induces a quasiconformal map of the boundaries, we have the following.
We show that the metric of non-positively curved graph manifolds is determined by its geodesic flow.
The following proposition describes the local stable and unstable manifolds.
We prove that such stable manifolds have their sizes bounded from below for infinitely hyperbolic points.
Thus, is supported on a set which contains many full unstable manifolds.
Conjugacy and rigidity for nonpositively curved manifolds of higher rank.
Similar definitions hold for functions taking values in manifolds.