127 citations · 595 across the 29 of their papers we have counts for
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math.DG2014★ 10 cited
Uniqueness of the Fisher-Rao metric on the space of smooth densities
Martin Bauer, Martins Bruveris, Peter W. Michor
On a closed manifold of dimension greater than one, every smooth weak Riemannian metric on the space of smooth positive probability densities, that is invariant under the action of…
math.DG2014
Completeness Properties of Sobolev Metrics on the Space of Curves
Martins Bruveris
We study completeness properties of Sobolev metrics on the space of immersed curves and on the shape space of unparametrized curves. We show that Sobolev metrics of order …
math.DG2014
On Completeness of Groups of Diffeomorphisms
Martins Bruveris, François-Xavier Vialard
We study completeness properties of the Sobolev diffeomorphism groups endowed with strong right-invariant Riemannian metrics when the underlying manifold is $…