Constructive isometry of tangent spaces along lifted geodesics equates local HK Riemannian geometry with Wasserstein geometry on the cone, enabling approximation of HK parallel transport.
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On the Differential-Geometric Equivalence of Hellinger-Kantorovich and Cone-Wasserstein Spaces
Constructive isometry of tangent spaces along lifted geodesics equates local HK Riemannian geometry with Wasserstein geometry on the cone, enabling approximation of HK parallel transport.