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articleNo Access
A Frobenius theorem for corank-1 continuous distributions in dimensions two and three
- S. Luzzatto,
- S. Türeli̇, and
- K. M. War
International Journal of Mathematics01 Jul 2016
Preview 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 $C^{1}$ $C^{1}$ distribution is uniquely integrable.

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