Bures Geodesics and Restricted Barycenters for Kronecker Positive Definite Matrices

Jiaping Yang, Yunxin Zhang

We study the extrinsic Bures--Wasserstein geometry of the determinant-normalized Kronecker model $\mcK_n=\{V\ot U:U,V\in\Sp^n,\ \det U=1\}\subset\Sp^{n^2}$, asking when the ambient…