Príklady manifold

• Cycles for the dynamical study of foliated manifolds and complex manifolds.

• Families of invariant manifolds corresponding to non-zero characteristics exponents.

• Here objects are compact oriented manifolds (boundaries), and morphisms are oriented bordisms (space-times).

• All known manifolds with engaging actions of higher rank lattices have an arithmetic fundamental group.

• We want also to associate manifolds with boundary to graphs with boundary.

• One often considers oriented bordisms, which are oriented manifolds with boundary.

• The statement of (2.9) only relies on the topological concepts of orientation and boundaries of manifolds.

• Similar definitions hold for functions taking values in manifolds.

• Conjugacy and rigidity for nonpositively curved manifolds of higher rank.

• Thus, is supported on a set which contains many full unstable manifolds.

• We prove that such stable manifolds have their sizes bounded from below for infinitely hyperbolic points.

• The following proposition describes the local stable and unstable manifolds.

• We show that the metric of non-positively curved graph manifolds is determined by its geodesic flow.

• Since any quasi-isometry between negatively curved simply connected manifolds induces a quasiconformal map of the boundaries, we have the following.

• We study the growth of unstable manifolds of automorphisms of complex surfaces.