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arXiv · 1501.07654

Cauchy-Schwarz-type inequalities on K\"{a}hler manifolds-II

Ping Li
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Abstract

We establish in this note some Cauchy-Schwarz-type inequalities on compact K\"{a}hler 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 Nguy$\hat{\text{e}}$n. A proportionality problem related to our main result is also proposed.

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Ping Li. 2015-01-30. Cauchy-Schwarz-type inequalities on K\"{a}hler manifolds-II. https://doi.org/10.1016/j.geomphys.2015.08.022

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