3 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…
math.DG2015
Second order elastic metrics on the shape space of curves
Martin Bauer, Martins Bruveris, Philipp Harms +1
Second order Sobolev metrics on the space of regular unparametrized planar curves have several desirable completeness properties not present in lower order metrics, but numerics ar…