Showing math.DGShow all
2 papers · 1 filter
math.DG2025
Regularity and completeness of half-Lie groups
Martin Bauer, Philipp Harms, Peter W. Michor
Half Lie groups exist only in infinite dimensions: They are smooth manifolds and topological groups such that right translations are smooth, but left translations are merely requir…
math.DG2024
Sobolev metrics on spaces of manifold valued curves
Martin Bauer, Cy Maor, Peter W. Michor
We study completeness properties of reparametrization invariant Sobolev metrics of order on the space of manifold valued open and closed immersed curves. In particular, fo…