Geometry, Topology, and Dynamics in Negative Curvature

C. S. Aravinda is an Associate Professor in the TIFR Centre for Applicable Mathematics, Bangalore. His main research interests are the study of manifolds of non-positive curvature, with special focus on their dynamic, geometric and topological aspects. F. T. Farrell is a Professor in the Mathematics Department and Yau Mathematical Sciences Center at Tsinghua University, Beijing, China. His research area is manifold topology. J.-F. Lafont is a Professor in the Mathematics Department at Ohio State University. He studies the geometry, topology, and dynamics of spaces of negative curvature.

Preface C. S. Aravinda, F. T. Farrell and J.-F. Lafont; 1. Gap distributions and homogeneous dynamics Jayadev S. Athreya; 2. Topology of open nonpositively curved manifolds Igor Belegradek; 3. Cohomologie et actions isométriques propres sur les espaces Lp Marc Bourdon; 4. Compact Clifford–Klein forms – geometry, topology and dynamics David Constantine; 5. A survey on noncompact harmonic and asymptotically harmonic manifolds Gerhard Knieper; 6. The Atiyah conjecture Peter A. Linnell; 7. Cannon–Thurston maps for surface groups – an exposition of amalgamation geometry and split geometry Mahan Mj; 8. Counting visible circles on the sphere and Kleinian groups Hee Oh and Nimish Shah; 9. Counting arcs in negative curvature Jouni Parkkonen and Frédéric Paulin; 10. Lattices in hyperbolic buildings Anne Thomas.