%0 Journal Article
%T A Frobenius Theorem for Continuous Distributions in Dimension Three
%A Stefano Luzzatto
%A Sina Tureli
%A Khadim War
%J Mathematics
%D 2014
%I arXiv
%X We formulate a notion of "(uniform) asymptotic involutivity" and show that it implies (unique) integrability of two-dimensional continuous distributions in dimension three. This can be seen as a continuous version of the Frobenius Theorem which says that a C^1 distribution is integrable and if only if it is involutive.
%U http://arxiv.org/abs/1411.5896v4