A special concavity property for positive Hessian quotient operators

Pengfei Guan, Marcin Sroka

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