differential_forms.pdf
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Math230a (Fall 2025) Yum-Tong Siu 1 Differential Forms and Dual Formulation of Frobenius Integrability We would like to discuss the dual formulation of Frobenius integrability in terms of differential forms. First of all, we want to introduce the notion of differential k-forms ω defined on an open subset G of Rn as an integrand on any local k-fold Y inside G. Because of the fundamental theorem of calculus Z f ′ (x)dx = f (b) − f (a),…
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