Question

5.1. Show that a meridian of a surface of revolution is a geodesic without solving the differential equations as was done in Proposition 5.5. Also, determine which circles of latitude are geodesics. (Hin Proposition 5.3.) PROPOSITION 5.3. A unit speed curve 7(s) on a surface M is a geodesic if and only if y" is everywhere normal to the surface (i.e., is a multiple of the normal to M)

Answer 1

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