4 papers
math.DG2019
Can we run to infinity? The diameter of the diffeomorphism group with respect to right-invariant Sobolev metrics
Martin Bauer, Cy Maor
The group of diffeomorphisms of a closed manifold is naturally equipped with various right-invariant Sobolev norms . Recent work s…
math-ph2019
Limits of distributed dislocations in geometric and constitutive paradigms
Marcelo Epstein, Raz Kupferman, Cy Maor
The 1950's foundational literature on rational mechanics exhibits two somewhat distinct paradigms to the representation of continuous distributions of defects in solids. In one par…
math.DG2019
Geodesic distance for right-invariant metrics on diffeomorphism groups: critical Sobolev exponents
Robert L. Jerrard, Cy Maor
We study the geodesic distance induced by right-invariant metrics on the group of compactly supported diffeomorphisms of a manifold , and show that it…
math.DG2018
Vanishing geodesic distance for right-invariant Sobolev metrics on diffeomorphism groups
Robert L. Jerrard, Cy Maor
We study the geodesic distance induced by right-invariant metrics on the group of compactly supported diffeomorphisms, for various Sobolev norms $…