ABSTRACT
As we will show in Section 7.3, the coefficient of Δs is a component of
curvature. Which one? We are taking two derivatives along the geodesic
(that is, in the T -direction) of a displacement in the φ-direction, which is
changing only in the φ-direction. We claim that
which is true since
ΩφT = Ω T φ = −m
r3 σT ∧ σφ (7.18)
(and since φˆ does not change in the r-direction).