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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 2016Show all

2 papers · 1 filter

math.DG2016★ 10 cited

Riemannian geometry of the space of volume preserving immersions

Martin Bauer, Peter Michor, Olaf Müller

Given a compact manifold and a Riemannian manifold of bounded geometry, we consider the manifold of immersions from to and its subset ${\rm Imm}_μ…

math.DG2016

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…