Manuscript XX-B@1 · XX-B.tex · section · 56d708a5

Wavefront bounds and the separation of hyperbolic and elliptic support

Wavefront bounds and the separation of hyperbolic and elliptic support · lines 1141–1159

Let $WF^{'}$ denote the kernel wavefront relation with the second covector reversed. Define

N = {(x, ξ; y, η) : (x, ξ) \sim (y, η), ξ, η \neq = 0, g ˉ^{- 1} (ξ, ξ) = 0},

where $\sim$ means transport along a null bicharacteristic. Let $N^{\pm}$ restrict $x$ to the causal future/past of $y$ , and let

Δ^{*} = {(x, ξ; x, ξ) : ξ \neq = 0} .

Displayed formulas in this passage

unlabeled · line 1146
$N = {(x, ξ; y, η) : (x, ξ) \sim (y, η), ξ, η \neq = 0, g ˉ^{- 1} (ξ, ξ) = 0},$
unlabeled · line 1156
$Δ^{*} = {(x, ξ; x, ξ) : ξ \neq = 0} .$