127 citations · 779 across the 62 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★ 12 cited
Metrics on Spaces of Immersions where Horizontality Equals Normality
Martin Bauer, Philipp Harms
We study metrics on shape space of immersions that have a particularly simple horizontal bundle. More specifically, we consider reparametrization invariant Sobolev metrics on t…