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 1302–1334

The constant-rank requirement passes for this map, but the clean-matching requirement already fails. Passing one requirement does not imply the others.

The relation (eq:conormal-relation) yields a one-dimensional frequency kernel. It does not eliminate the two quadratic base conditions of Corollary cor:notredundant.

Quantity	Dimension	Meaning
$W$	$16$	Common base space.
$S_{6}$	$10$	Six regular base constraints.
$N = N_{att}$	$8$	Full matched base incidence.
$F_{match}$	$15$	Actual incidence plus seven frequencies.
Linearized matching space	$17$	Two directions not tangent to $F_{match}$ .
$D_{tan}_{w}$	$2$	Failure of clean tangency.
Local fiber of $J$	$1$	Cone-frequency redundancy.
Local image of $J$	$14$	Isotropic, not Lagrangian in $T^{*} W$ .

None of the numbers in this table is an assigned transverse scaling degree of (eq:target).

The actual covector-sum projection

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