Article ID Journal Published Year Pages File Type
1895501 Journal of Geometry and Physics 2016 7 Pages PDF
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 Nguyên. A proportionality problem related to our main result is also proposed.

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Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
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