frobenius_integrability.pdf
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Math230a (Fall 2025) Yum-Tong Siu 1 Frobenius Integrability for Distribution of Tangent Subspaces Smooth Manifolds and Submanifolds. For k equal to any nonnegative integer or ∞, a C k manifold X of real dimension n means a topological space (with the property of a countable dense set and the existence of disjoint neighbor- hoods for any pair of distinct points) endowed with a at-most-countable open cover {Uj }j∈J such that each Uj is homeomorphic to a connected open subset Gj of Cn under a map φj with the property that the map from φj…
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