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math.MG2026
On Foliated Optimal Transport
Diego S. Ledesma, Renata Possobon, Christian S. Rodrigues
In this paper we introduce a geometrically constrained optimal transport problem on Riemannian manifolds endowed with a Borel foliation, in which mass is transported only within in…
math.MG2025
Characterization of foliations via disintegration maps
Florentin Münch, Renata Possobon, Christian S. Rodrigues
In this paper, we present a novel approach for analyzing the relationship between the supports of conditional measures and their geometric arrangement in Wasserstein space via the…