PDE och tillämpningar: Analysis and geometry on asymptotically hyperbolic manifolds and convex-cocompact manifolds with variable negative curvature
- Plats: Ångströmlaboratoriet
- Föreläsare: Julie Rowlett, Göteborg
- Kontaktperson: Kaj Nyström
Abstract: A broad class of Riemannian manifolds are those which are complete, geometrically finite without cusps, and have bounded, negative sectional curvatures. These are known as convex-cocompact. Conformally compact, asymptotically hyperbolic, and almost hyperbolic manifolds with negative sectional curvatures are all examples of convex co-compact manifolds. We will consider the geodesic flow on these manifolds and connections to the spectral theory of their Laplacians.