%0 Journal Article %A Dmitri Burago %A Sergei Ivanov %T Boundary rigidity and filling volume minimality of metrics close to a flat one %J Annals of mathematics %D 2010 %P 1183-1211 %V 171 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4007/annals.2010.171.1183/ %R 10.4007/annals.2010.171.1183 %G en %F 10_4007_annals_2010_171_1183