Journal article

Geodesic distance for right invariant Sobolev metrics of fractional order on the diffeomorphism group. II

The geodesic distance vanishes on the group of compactly supported diffeomorphisms of a Riemannian manifold of bounded geometry, for the right invariant weak Riemannian metric which is induced by the Sobolev metric of order on the Lie algebra of vector fields with compact support.


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