Cauchy-Schwarz-type inequalities on Kähler manifolds-II
arXiv:1501.07654 · doi:10.1016/j.geomphys.2015.08.022
Abstract
We establish in this note some Cauchy-Schwarz-type inequalities on compact Kähler manifolds, which generalize the classical Khovanskii-Teissier inequalities to higher-dimensional cases. Our proof is to make full use of the mixed Hodge-Riemann bilinear relations due to Dinh and Nguyn. A proportionality problem related to our main result is also proposed.
9 pages