{"ID":5676053,"CreatedAt":"2026-07-03T01:40:09.565152011Z","UpdatedAt":"2026-07-05T00:53:01.582534842Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2607.01569","arxiv_id":"2607.01569","title":"Complete Integrability for Piecewise-Smooth Distributions","abstract":"Two generalizations of the Frobenius integrability theorem are proved concerning distributions which are piecewise-C1 but may fail to be continuous. The criteria presented are sufficient, but not necessary, for complete integrability of such distributions with bi-Lipschitz coordinates.","short_abstract":"Two generalizations of the Frobenius integrability theorem are proved concerning distributions which are piecewise-C1 but may fail to be continuous. The criteria presented are sufficient, but not necessary, for complete integrability of such distributions with bi-Lipschitz coordinates.","url_abs":"https://arxiv.org/abs/2607.01569","url_pdf":"https://arxiv.org/pdf/2607.01569v1","authors":"[\"Jack McKee\"]","published":"2026-07-02T00:59:03Z","proceeding":"math.DG","tasks":"[\"math.DG\",\"math.OC\"]","methods":"[]","has_code":false}