@article{GT_2010_14_4_a14, author = {Sorrentino, Alfonso and Viterbo, Claude}, title = {Action minimizing properties and distances on the group of {Hamiltonian} diffeomorphisms}, journal = {Geometry & topology}, pages = {2383--2403}, publisher = {mathdoc}, volume = {14}, number = {4}, year = {2010}, doi = {10.2140/gt.2010.14.2383}, url = {http://geodesic.mathdoc.fr/articles/10.2140/gt.2010.14.2383/} }