Geodesic distance for right invariant Sobolev metrics of fractional order on the diffeomorphism group. II
Abstract
The geodesic distance vanishes on the group of compactly supported diffeomorphisms of a Riemannian manifold M of bounded geometry, for the right invariant weak Riemannian metric which is induced by the Sobolev metric Hs of order 0 s<12 on the Lie algebra Xc(M) of vector fields with compact support.
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