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arXiv · 1912.13147

On some applications of Gauduchon metrics

Ping Li
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Abstract

We apply the existence and special properties of Gauduchon metrics to give several applications. The first one is concerned with the implications of algebro-geometric nature under the existence of a Hermitian metric with nonnegative holomorphic sectional curvature. The second one is to show the non-existence of holomorphic sections on Hermitian vector bundles under certain conditions. The third one is to give a restriction on the $\partial\bar{\partial}$-closedness of some real $(n-1,n-1)$-forms on compact complex manifolds.

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Ping Li. 2019-12-31. On some applications of Gauduchon metrics. https://doi.org/10.1007/s10711-020-00592-w

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