127 citations · 595 across the 29 of their papers we have counts for
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Well-posedness of the EPDiff equation with a pseudo-differential inertia operator
Martin Bauer, Martins Bruveris, Emanuel Cismas +2
In this article we study the class of right-invariant, fractional order Sobolev-type metrics on groups of diffeomorphisms of a compact manifold M. Our main result concerns well-pos…
Fractional Sobolev metrics on spaces of immersed curves
Martin Bauer, Martins Bruveris, Boris Kolev
Motivated by applications in the field of shape analysis, we study reparametrization invariant, fractional order Sobolev-type metrics on the space of smooth regular curves $\operat…
Geodesic Completeness for Sobolev Metrics on the Space of Immersed Plane Curves
Martins Bruveris, Peter W. Michor, David Mumford
We study properties of Sobolev-type metrics on the space of immersed plane curves. We show that the geodesic equation for Sobolev-type metrics with constant coefficients of order 2…
The homogeneous Sobolev metric of order one on diffeomorphism groups on the real line
Martin Bauer, Martins Bruveris, Peter W. Michor
In this article we study Sobolev metrics of order one on diffeomorphism groups on the real line. We prove that the space equipped with the homo…
Vanishing geodesic distance for the Riemannian metric with geodesic equation the KdV-equation
Martin Bauer, Martins Bruveris, Philipp Harms +1
The Virasoro-Bott group endowed with the right-invariant -metric (which is a weak Riemannian metric) has the KdV-equation as geodesic equation. We prove that this metric space…