Survey of various topics and key results in metric geometry. Contents: metric spaces and some isometric embedding theorems, geodesic and inner metric spaces, metric spaces of non-positive curvature in the sense of Busemann and Alexandrov, injective metric spaces and Isbell's injective hull construction, Gromov hyperbolic spaces and groups, Wasserstein distance and barycenter constructions.
Objective
Prerequisites / Notice
Basic knowledge in differential geometry and functional analysis