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تسجيل مستخدم جديدA Stefan-Sussmann theorem for normal distributions on manifolds with boundary
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An analogue of the Stefan-Sussmann Theorem on manifolds with boundary is proven for normal distributions. These distributions contain vectors transverse to the boundary along its entirety. Plain integral manifolds are not enough to integrate a normal distribution; the next best integrals are so-called neat integral manifolds with boundary. The conditions on the distribution for this integrability is expressed in terms of adapted collars and integrability of a pulled-back distribution on the interior and on the boundary.
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