Exterior Differential Systems ∗

Abstract

We will denote by 〈γ1, ..., γk〉 the differential ideal generated by γ1, ..., γk, i.e. the set of elements of Ω∗(M) of the form α ∧ γ1 + ...+ α ∧ γk + β ∧ dγ1 + ...+ β ∧ dγk, for some α, ..., α, β, ..., β ∈ Ω∗(M). We also denote by 〈γ1, ..., γk〉alg the “algebraic” ideal (not necessarily closed under d) consisting of elements of the form α ∧ γ1 + ...+ α ∧ γk… (More)

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