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).