Pinched theorem and the reverse Yau's inequalities for compact Kähler-Einstein manifolds

Rong Du

For a compact Kähler-Einstein manifold $M$ of dimension $n\ge 2$, we explicitly write the expression $-c_1^n(M)+\frac{2(n+1)}{n}{c}_2(M)c_1^{n-2}(M)$ in the form of certain integral…