Reduction theorem of the codimension of minimal generic submanifolds in a complex projective space (Q1900010)

The authors prove that if \(M\) is an \(n\)-dimensional minimal generic submanifold of \(\mathbb{C} P^m\) with flat normal connection and the Ricci tensor \(S\) of \(M\) satisfies \(S(X,X) \geq (n - 1)g(X,X)\), then \(M\) is a real hypersurface of \(\mathbb{C} P^m\).