id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-3868	Bracken, Paul	Cartan's Approach to Second Order Ordinary Differential Equations	2020	19	.pdf	application/pdf	7501	385	81	Given a trace-free matrix valued one-form $ with $2 = −ϑ $2 1 = dx and $ a multiple of ϕ, the remaining elements of $ are uniquely determined by the following conditions on its curvature form Π: it must be strictly upper-triangular and Π1 2 is a multiple of dx ∧ ϑ. γ̄ ∧ φ ᾱ ∧ γ̄ + β̄ ∧ β̄′ + γ̄′ ∧ ᾱ′ φ̄ ∧ ᾱ− (ᾱ+ ᾱ′) ∧ φ+ β̄′ ∧ θ φ̄ ∧ β̄ + β̄′ ∧ φ φ̄ ∧ γ̄ − (ᾱ+ ᾱ′) ∧ β + β̄′ ∧ ᾱ′ θ ∧ ᾱ+ φ ∧ φ̄+ ᾱ′ ∧ θ θ ∧ β̄ − φ ∧ (ᾱ+ ᾱ′) + ᾱ′ ∧ φ θ ∧ γ̄ + φ ∧ β̄′  (100)	cache/ejpam-3868.pdf	txt/ejpam-3868.txt