@article{10_4171_dm_187,
     author = {Peter W. Michor and David Mumford},
     title = {Vanishing geodesic distance on spaces of submanifolds and diffeomorphisms},
     journal = {Documenta mathematica},
     pages = {217--245},
     year = {2005},
     volume = {10},
     doi = {10.4171/dm/187},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/187/}
}