%0 Journal Article %T Isometric immersions of R^2 into R^4 and pertubation of Hopf tori %A Jose A. Galvez %A Pablo Mira %J Mathematics %D 2003 %I arXiv %X We produce a new general family of flat tori in R^4, the first one since Bianchi's classical works in the 19th century. To construct these flat tori, obtained via small perturbation of certain Hopf tori in S^3, we first present a global description of all isometric immersions of R^2 into R^4 with flat normal bundle. %U http://arxiv.org/abs/math/0301075v1