Martin Bauer

activity

20102023

most citedOverview of the Geometries of Shape Spaces and Diffeomorphism Groups

127 citations · 779 across the 62 of their papers we have counts for

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Showing 2010 · math.DGShow all

2 papers · 2 filters

math.DG2010★ 81 cited

Sobolev metrics on shape space of surfaces

Martin Bauer, Philipp Harms, Peter W. Michor

Let $M$ and $N$ be connected manifolds without boundary with $dim (M) < dim (N)$ , and let $M$ compact. Then shape space in this work is either the manifold of submanifolds of $N$ t…

math.DG2010★ 47 cited

Almost local metrics on shape space of hypersurfaces in n-space

Martin Bauer, Philipp Harms, Peter W. Michor

This paper extends parts of the results from [P.W.Michor and D. Mumford, \emph{Appl. Comput. Harmon. Anal.,} 23 (2007), pp. 74--113] for plane curves to the case of hypersurfaces i…