2 papers
math.DG2026
On Periodic Geodesics of Half-Lie Groups
Martin Bauer, Levin Maier
A central program in infinite-dimensional Riemannian geometry is to understand which classical finite-dimensional principles remain valid beyond finite dimensions. In this article,…
math.DG2026
The Wasserstein--Ebin Metric: A Geometric Lift of Unbalanced Optimal Transport to the space of Riemannian metrics
Martin Bauer, Peter W. Michor, François-Xavier Vialard
We introduce dynamic and static formulations that formally extend unbalanced optimal transport from the space of positive densities to the space of Riemannian metrics. The first co…