A special concavity property for positive Hessian quotient operators

Pengfei Guan, Marcin Sroka

We establish a special concavity property for positive Hessian quotient operators $\frac{\ddot{I}{ƒ}_n(W)}{\ddot{I}{ƒ}_{n-k}(W)},1\le k\le n-1$. As a consequence, we prove a Jacobi inequality for…