@article{10_4007_annals_2010_172_1805, author = {Danijela Damjanovi\'c and Anatole Katok}, title = {Local rigidity of partially hyperbolic actions {I.} {KAM} method and ${\mathbb Z^k}$ actions on the torus}, journal = {Annals of mathematics}, pages = {1805--1858}, publisher = {mathdoc}, volume = {172}, number = {3}, year = {2010}, doi = {10.4007/annals.2010.172.1805}, mrnumber = {2726100 }, zbl = {1209.37017}, language = {en}, url = {http://geodesic.mathdoc.fr/articles/10.4007/annals.2010.172.1805/} }