127 citations · 595 across the 29 of their papers we have counts for
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Geometry of the Fisher-Rao metric on the space of smooth densities on a compact manifold
Martins Bruveris, Peter W. Michor
It is known that on a closed manifold of dimension greater than one, every smooth weak Riemannian metric on the space of smooth positive densities that is invariant under the actio…
Moser's theorem on manifolds with corners
Martins Bruveris, Peter W. Michor, Adam Parusinski +1
Moser's theorem (1965) states that the diffeomorphism group of a compact manifold acts transitively on the space of all smooth positive densities with fixed volume. Here we describ…
A Numerical Framework for Sobolev Metrics on the Space of Curves
Martin Bauer, Martins Bruveris, Philipp Harms +1
Statistical shape analysis can be done in a Riemannian framework by endowing the set of shapes with a Riemannian metric. Sobolev metrics of order two and higher on shape spaces of…
Regularity of Maps between Sobolev Spaces
Martins Bruveris
Let be a -map between Sobolev spaces, either on or on a compact manifold. We show that equivariance of under the diffeomorphism group allow…