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Extrinsic Characterizations of Circles in a Complex Projective Space Imbedded in a Euclidean Space
$0$ . Introduction. It is well-known that a curve on a sphere $S^{2}$ in $R^{3}$ is a geodesic (that is, a great circle) or a (small) circle if and only if it is a circle as a curve in $R^{3}$ . This can be considered as an extrinsic characterization of …