Cauchy-Schwarz-type inequalities on K\"{a}hler manifolds-II
Differential Geometry
2016-01-20 v1 Algebraic Geometry
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 Nguyn. A proportionality problem related to our main result is also proposed.
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Cite
@article{arxiv.1501.07654,
title = {Cauchy-Schwarz-type inequalities on K\"{a}hler manifolds-II},
author = {Ping Li},
journal= {arXiv preprint arXiv:1501.07654},
year = {2016}
}
Comments
9 pages