2 papers
math.DG2026
The Wasserstein space of the circle is not flat
André Magalhães de Sá Gomes, Christian S. Rodrigues, Luiz A. B. San Martin
We show that the Wasserstein space of the circle is not flat, in contrast with the flatness of the Wasserstein spaces of the real line and of an interval. Its sectional curvature i…
math.DS2026
Pushforward dynamics on Wasserstein spaces and measure rigidity
Douglas Finamore, André Magalhães de Sá Gomes, Christian S. Rodrigues
For an endomorphism of a closed Riemannian manifold , we study the pushforward action on the Wasserstein space at a measure preserved by .…