@techreport{33e01103beb64ae88f94295f7e8a7292,

title = "A Stefan-Sussmann theorem for normal distributions on manifolds with boundary",

abstract = "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.",

keywords = "Stefan-Sussmann Theorem, distributions on manifolds with boundary, foliations, Frobenius Theorem",

author = "David Perrella and David Pfefferl{\'e} and Luchezar Stoyanov",

year = "2021",

month = sep,

day = "10",

language = "English",

series = "arXiv",

publisher = "Cornell University, Ithaca, NY",

type = "WorkingPaper",

institution = "Cornell University, Ithaca, NY",

}