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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Translated from Ukrainskii Geometricheskii Sbornik, No. 34, pp. 121–126, 1991.
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Yampol'skii, A.L. Characterization of the projections of geodesics of the Sasakian metric ofTCP n andT 1 CP n . J Math Sci 69, 916–920 (1994). https://doi.org/10.1007/BF01250824
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DOI: https://doi.org/10.1007/BF01250824