Geodesic flow on surfaces without conjugate points - part 1
By Khadim Mbacke War
Geodesic flow on surfaces without conjugate points - part 2
By Khadim Mbacke War
Geodesic flow on surfaces without conjugate points - part 3
By Khadim Mbacke War
Appears in collection : Anosov Dynamics / La dynamique des sytèmes d'Anosov
A (pseudo)-Anosov flow on a 3-manifold can be understood through its orbit space, a bifoliated plane with a natural action of the fundamental group of the manifold. In this minicourse, we will describe techniques to study the dynamics of these orbit space actions as a means to understand the topological theory and the classification of (pseudo)Anosov flows in dimension 3. This leads to a more general theory of 'Anosov-like' actions on bifoliated planes, which form a rich class of discrete dynamical systems including but not limited to the orbit space actions from flows.