Speaker
Jürgen Jost
(MPI MIS)
Description
Usually, sectional curvature bounds in the sense of Alexandrov or Busemann, as inspired by the properties of Riemannian manifolds with global bounds on their sectional curvature, are formulated for geodesic length spaces. In this talk, it is shown how to formulate such bounds for arbitrary metric spaces, and the relation with the classical formulations is explored.