| It's proved that if M is a minimal CR-submanifold of dimension 3 in the complex projective space CP~n and the induced metric of M has constant sectional curvature c,then c=1/(m~2-1), for an integer m≥2, and M is rigid, without thecondition of compactness and c>0,we generalize the rigidity theorem in [9],and we know more about M ,that is, M is an open piece of the imageψ(S~3) of the standard immersionψdefined in example 1.2,at most up to a holomorphic isometryof CP~n. |