1. Let a be a unit-speed curve in M CR?. If E1, E2, Ez is an adapted frame field such that E restricted to a is its unit
Posted: Thu May 12, 2022 6:33 am
1. Let a be a unit-speed curve in M CR?. If E1, E2, Ez is an adapted frame field such that E restricted to a is its unit tangent T, show that (a) a is a geodesic of Mif and only if 02(T) = 0. (b) If Ez = E X E, then g = 0,2(T), k = 0,3(T), t= 023(T), where g, k, and t are the functions defined in Exercise 7 of Section 5.6. (Hint: If T = E, along a, then E = VEE, along a.)