145 citations · 1.3k across the 104 of their papers we have counts for
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math.DG2019
Closed surfaces with different shapes that are indistinguishable by the SRNF
Eric Klassen, Peter W. Michor
The Square Root Normal Field (SRNF), introduced by Jermyn et al. in [3], provides a way of representing immersed surfaces in , and equipping the set of these immersion…
math.DG2019★ 13 cited
Fractional Sobolev metrics on spaces of immersions
Martin Bauer, Philipp Harms, Peter W. Michor
We prove that the geodesic equations of all Sobolev metrics of fractional order one and higher on spaces of diffeomorphisms and, more generally, immersions are locally well posed.…
math.DG2019★ 28 cited
Manifolds of mappings for continuum mechanics
Peter W. Michor
This is an overview article. After an introduction to convenient calculus in infinite dimensions, the foundational material for manifolds of mappings is presented. The central char…