On totally real submanifolds of a complex projective space (Q1812276)

Let \(\mathbb{C} P^n(c)\) be an \(n\)-dimensional complex projective space with the Fubini-Study metric of constant holomorphic sectional curvature \(c\) \((> 0)\) and let \(M\) be an \(n\)-dimensional compact totally real minimal submanifold in \(\mathbb{C} P^n(c)\). The author gives a complete characterization of such \(M\) with scalar curvature \(\rho\) satisfying \(\rho \geq \frac{3n(n-2)}{16}\, c\).