Manuscript XXII-E@1 · XXII-E.tex · section · 51c99d2f

Finite-dimensional metric jets

A well-defined linearized comparison › Finite-dimensional metric jets · lines 676–688

Every such jet is represented by the polynomial

h_{μν} (x) = h_{μν} + h_{μν ∣ α} x^{α} + \frac{1}{2} h_{μν ∣ α β} x^{α} x^{β}

at the origin. This gives a mathematical realization of the jet, not an operational extraction of it.

Displayed formulas in this passage

unlabeled · line 679
$h_{μν} (x) = h_{μν} + h_{μν ∣ α} x^{α} + \frac{1}{2} h_{μν ∣ α β} x^{α} x^{β}$