Manuscript X-A-conv-ST@1 · X-A-conv-ST.tex · section · 8ca47088

A genuine pure-gauge two-jet

The retained second-order defects › A genuine pure-gauge two-jet · lines 1099–1121

For $ξ \in g_{C}$ , define

q_{λ} = e^{λκ L_{ξ}} η, ϕ_{λ} = e^{λκ X_{ξ}} ϕ_{0} (mod κ^{3}) .

Thus

h_{λ} = λ K ξ, k_{λ} = \frac{λ ^{2}}{2} L_{ξ}^{2} η .

The straight line $η + λκ K ξ$ is not substituted for this jet.

Set

b = S_{ε} ξ, d_{ξ} = \frac{1}{2} T_{g, ε} (L_{ξ}^{2} η) - \frac{1}{2} L_{b}^{2} η .

Displayed formulas in this passage

unlabeled · line 1102
$q_{λ} = e^{λκ L_{ξ}} η, ϕ_{λ} = e^{λκ X_{ξ}} ϕ_{0} (mod κ^{3}) .$
unlabeled · line 1108
$h_{λ} = λ K ξ, k_{λ} = \frac{λ ^{2}}{2} L_{ξ}^{2} η .$
unlabeled · line 1116
$b = S_{ε} ξ, d_{ξ} = \frac{1}{2} T_{g, ε} (L_{ξ}^{2} η) - \frac{1}{2} L_{b}^{2} η .$