Title | A Frobenius theorem for corank-1 continuous distributions in dimensions two and three |
Publication Type | Journal Article |
Year of Publication | 2016 |
Authors | Luzzatto, S, Türeli, S, War, KMbacke |
Journal | International Journal of Mathematics |
Volume | 27 |
Pagination | 1650061 |
Abstract | 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. |
URL | https://doi.org/10.1142/S0129167X16500610 |
DOI | 10.1142/S0129167X16500610 |
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