On the Weighted Orthogonal Ricci curvature
On the Weighted Orthogonal Ricci curvature
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DOI：
10.1016/j.geomphys.2023.104783
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发表时间：
2021-10
影响因子：
1.5
通讯作者：
Kyle Broder;Kai Tang
中科院分区：
文献类型：
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作者：
Kyle Broder;Kai Tang
我们引入了加权正交Ricci曲率-一个两参数版本的Ni-Zheng的正交Ricci曲率。在研究Ricci曲率与全纯截面曲率之间的关系时，这一曲率是一个非常自然的对象。特别是，在确定最佳曲率约束的紧凑凯勒流形是投影。在这个方向上，我们证明了一些消失定理使用加权正交Ricci曲率（s）在Kähler和Hermitian范畴。
We introduce the weighted orthogonal Ricci curvature – a two-parameter version of Ni–Zheng's orthogonal Ricci curvature. This curvature serves as a very natural object in the study of the relationship between the Ricci curvature(s) and the holomorphic sectional curvature. In particular, in determining optimal curvature constraints for a compact Kähler manifold to be projective. In this direction, we prove a number of vanishing theorems using the weighted orthogonal Ricci curvature(s) in both the Kähler and Hermitian category.