Cy Maor

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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 $Diff (M)$ of diffeomorphisms of a closed manifold $M$ is naturally equipped with various right-invariant Sobolev norms $W^{s, p}$ . Recent work s…

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 $Diff_{c} (M)$ of compactly supported diffeomorphisms of a manifold $M$ , 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 $Diff_{c} (M)$ of compactly supported diffeomorphisms, for various Sobolev norms $…