%0 Journal Article %J International Journal of Mathematics %D 2016 %T A Frobenius theorem for corank-1 continuous distributions in dimensions two and three %A Stefano Luzzatto %A Sina Türeli %A Khadim Mbacke War %X

We formulate a notion of (uniform) asymptotic involutivity and show that it implies (unique) integrability of corank-1 continuous distributions in dimensions three or less. This generalizes and extends a classical Frobenius theorem, which says that an involutive C1 distribution is uniquely integrable.

%B International Journal of Mathematics %V 27 %P 1650061 %G eng %U https://doi.org/10.1142/S0129167X16500610 %R 10.1142/S0129167X16500610