Martin Bauer

collaborators

2 papers

math.DG2026

Completeness of reparametrization-invariant Sobolev metrics on the space of surfaces

Martin Bauer, Cy Maor, Benedikt Wirth

We study reparametrization-invariant Sobolev-type Riemannian metrics on the space of immersed surfaces and establish conditions ensuring metric and geodesic completeness as well as…

math.DG2025

A Riemannian viewpoint on the Amari-Cencov $I^\pm$ -connections and Proudman-Johnson equations

Martin Bauer, Alice Le Brigant, Cy Maor

We give a new geometric interpretation of the Amari-Cencov $I^\pm$ -connections $\nabla^{(I^\pm)}$ from information geometry: On the space of densities $Dens_{+} (M)$ , we show…

Completeness of reparametrization-invariant Sobolev metrics on the space of surfaces

A Riemannian viewpoint on the Amari-Cencov I^±-connections and Proudman-Johnson equations

A Riemannian viewpoint on the Amari-Cencov $I^\pm$ -connections and Proudman-Johnson equations