Martins Bruveris

activity

20092024

most citedOverview of the Geometries of Shape Spaces and Diffeomorphism Groups

127 citations · 595 across the 29 of their papers we have counts for

collaborators

Showing 2011 · math.DGShow all

3 papers · 2 filters

math.DG2011★ 3 cited

The energy functional on the Virasoro-Bott group with the $L^{2}$ -metric has no local minima

Martins Bruveris

The geodesic equation for the right invariant $L^{2}$ -metric (which is a weak Riemannian metric) on each Virasoro-Bott group is equivalent to the KdV-equation. We prove that the corr…

math.DG2011★ 23 cited

A New Riemannian Setting for Surface Registration

Martin Bauer, Martins Bruveris

We present a new approach for matching regular surfaces in a Riemannian setting. We use a Sobolev type metric on deformation vector fields which form the tangent bundle to the spac…

math.DG2011★ 33 cited

Geodesic distance for right invariant Sobolev metrics of fractional order on the diffeomorphism group

Martin Bauer, Martins Bruveris, Philipp Harms +1

We study Sobolev-type metrics of fractional order $s \geq 0$ on the group $\Diff_c(M)$ of compactly supported diffeomorphisms of a manifold $M$ . We show that for the important specia…

The energy functional on the Virasoro-Bott group with the L2-metric has no local minima

A New Riemannian Setting for Surface Registration

Geodesic distance for right invariant Sobolev metrics of fractional order on the diffeomorphism group

The energy functional on the Virasoro-Bott group with the $L^{2}$ -metric has no local minima