ScalingStacks

Definition 2.1 . [02GN]

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Definition 2.1.

Let (M4,μ0)(M^{4},\mu_{0}) be an oriented 44–manifold with volume form μ0\mu_{0}. A definite triple is a triple 𝝎¯=(ω1,ω2,ω3)\bm{\underline{\omega}}=(\omega_{1},\omega_{2},\omega_{3}) of 22–forms on MM such that Span​(ω1,ω2,ω3)\text{Span}(\omega_{1},\omega_{2},\omega_{3}) is a 33–dimensional positive definite subspace of Λ2​Tx∗​M\Lambda^{2}T^{\ast}_{x}M at every point x∈Mx\in M.

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