Abstract
Curves that are projections of geodesics of the Sasakian metric of the tangent and tangent sphere bundles of a complex projective space are considered. The main result is: THEOREM. If Γis a geodesic of TCPn (T1 CPn) then π0Γis a curve inCP n for which curvatures k1, ⋯, k5 are constant and k6 = ⋯ = k2n = 0.
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