Involutivity and Condition W suffice for integrability of split Fréchet tangent distributions, producing a unique maximal foliation, with a dual formulation via annihilating forms.
Eftekharinasab,A Class of functionals on the sequence spacea satisfying the Palais-Smale condition, arXiv:2510.10146 [math.FA] (2025)
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A Frobenius Theorem on Fr\'echet Manifolds
Involutivity and Condition W suffice for integrability of split Fréchet tangent distributions, producing a unique maximal foliation, with a dual formulation via annihilating forms.