Calculus of Variations and Geometric Measure Theory

Analysis and Geometry on Singular Spaces

On the isometry group of Wasserstein space over a nonpositively curved metric space.

Jerome Bertrand

created by paolini on 25 Apr 2014
modified by gigli on 05 Jun 2014


In this talk, I will discuss global geometrical properties of Wasserstein space when the underlying space is a geodesic space which is (globally) nonpositively curved (CAT(0) space). The main result is a characterization of the isometry group when the base space has negative curvature. This is joint work with B. Kloeckner.