On integral manifolds for vector space distributions (Q811524)

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scientific article; zbMATH DE number 4215957
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On integral manifolds for vector space distributions
scientific article; zbMATH DE number 4215957

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    On integral manifolds for vector space distributions (English)
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    1992
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    In this article there are derived criteria for the existence of ''singular'' integral manifolds for vector space distributions on a Banach manifold. These distributions are allowed to be of variable fiber dimensions and not globally involutive. Moreover, in many cases integral manifolds are quasi-regular.
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    integral manifolds
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    vector space distributions
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    Banach manifold
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    Frobenius theorem
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