Two sufficient criteria are established for complete integrability of piecewise-C1 distributions that may be discontinuous, extending the Frobenius theorem to bi-Lipschitz coordinates.
Integrability of normal distributions Part 2: Neat foliations by manifolds with boundary , publisher =
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Complete Integrability for Piecewise-Smooth Distributions
Two sufficient criteria are established for complete integrability of piecewise-C1 distributions that may be discontinuous, extending the Frobenius theorem to bi-Lipschitz coordinates.