Manuscript XIV-F@1 · XIV-F.tex · section · bae5a40b

The actual covector-sum projection

F2: ambient space and the intrinsic conormal matching › The actual covector-sum projection · lines 1224–1239

XIV-F@1#eq:sum-map

Define the geometric map

J : F_{match} J (w, t_{R}, t_{1}, t_{2}, κ) ⟶ T^{*} W, = (w, - t_{R} d q_{R} + t_{1} d q_{1} + t_{2} d q_{2} + κ_{μ} d d^{μ}) .

This is a sum of cotangent vectors. It is not an oscillatory phase or a principal-symbol definition.

Displayed formulas in this passage

XIV-F@1#eq:sum-map · line 1227
$J : F_{match} J (w, t_{R}, t_{1}, t_{2}, κ) ⟶ T^{*} W, = (w, - t_{R} d q_{R} + t_{1} d q_{1} + t_{2} d q_{2} + κ_{μ} d d^{μ}) .$