Frobenius’ Theorem
نویسنده
چکیده
Given a manifold M of dimension n + k, attach to every p ∈ M an ndimensional subspace of the tangent space Tp(M). It is natural to ask if this collection of subspaces is the collection of tangent spaces to a family of submanifolds that cover M . In this paper we prove Frobenius’ Theorem, which gives a necessary and sufficient condition for the answer to be yes.
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