Manuscript XIV-J@1 · XIV-J.tex · section · 1c0e72ca

XIV-H's exact maps

J0: copied premises and their domains › XIV-H's exact maps · lines 386–397

Define constant fiber maps by

a_{1}^{α μ} [r] = A^{α μ, I} r_{I}, b_{1} [r] = b^{I} r_{I} .

The indices $I, J, L, M$ range over the inherited symmetric metric components. All formulas below are componentwise with the frozen tensor pairings.

Displayed formulas in this passage

unlabeled · line 389
$a_{1}^{α μ} [r] = A^{α μ, I} r_{I}, b_{1} [r] = b^{I} r_{I} .$