Geometric properties of cones with applications on the Hellinger-Kantorovich space, and a new distance on the space of probability measures

Vaios Laschos, Alexander Mielke

We study general geometric properties of cone spaces, and we apply them on the Hellinger--Kantorovich space $(\mathcal{M}(X),{\mathsf{H}\mathsf{K}}_{\alpha ,\beta }).$ We exploit a two-…