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On a Semi-invariant submanifold of codimension $3$ with constant mean curvature in a complex projective space

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Abstract

Let M be a semi-invariant submanifold of codimension3 with lift-flat normal connection in a complex projectivespace. Further, if the mean curvature of M is constant, then weprove that M is a real hypersurface of a complex projectivespace of codimension 2 in the ambient space.

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