127 citations · 595 across the 29 of their papers we have counts for
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math.DG2012★ 30 cited
Geodesic distance for right invariant Sobolev metrics of fractional order on the diffeomorphism group. II
Martin Bauer, Martins Bruveris, Peter W. Michor
The geodesic distance vanishes on the group of compactly supported diffeomorphisms of a Riemannian manifold of bounded geometry, for the right invariant weak Riemannian metric…
math.AP2012★ 27 cited
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…
math.DG2012★ 85 cited
Constructing reparametrization invariant metrics on spaces of plane curves
Martin Bauer, Martins Bruveris, Stephen Marsland +1
Metrics on shape space are used to describe deformations that take one shape to another, and to determine a distance between them. We study a family of metrics on the space of curv…