%0 Journal Article %T Rigidity of the Stable Norm on Tori %A OSUNA %A OSVALDO %J Revista Colombiana de Matem¨¢ticas %D 2010 %I Universidad Nacional de Colombia and Sociedad Colombiana de Matem¨¢ticas %X given a closed, orientable riemannian manifold, we study the stable norm on the real homology groups. in particular, for n¡Ư 2 we prove that a riemannian n-torus, which has the same stable norms as a flat n-torus on the first and n-1 homology groups, is in fact isometric to the flat torus. %K stable norm %K p-norm %K poincar¨¦ duality. %U http://www.scielo.org.co/scielo.php?script=sci_abstract&pid=S0034-74262010000100002&lng=en&nrm=iso&tlng=en