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.


Published in:
Annals Of Global Analysis And Geometry, 44, 4, 361-368
Year:
2013
Publisher:
Dordrecht, Springer Verlag
ISSN:
0232-704X
Keywords:
Laboratories:




 Record created 2014-01-09, last modified 2018-09-13


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