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J-invariant submanifolds of codimension 2 in a complex projective space

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Abstract

In this paper we prove that if M is a J-invariant submanifoldof codimension 2 in a complex projective space P_{n+1} (C),and the second fundamental tensor is cyclic-parallel or M hasharmonic curvature, then M is locally complex quadric Q_n (C)or P_n (C).

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