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arXiv · 1802.08732

Comparison and vanishing theorems for K\"ahler manifolds

Lei Ni·Fangyang Zheng
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Abstract

In this paper, we consider orthogonal Ricci curvature $Ric^{\perp}$ for K\"ahler manifolds, which is a curvature condition closely related to Ricci curvature and holomorphic sectional curvature. We prove comparison theorems and a vanishing theorem related to these curvature conditions, and construct various examples to illustrate their subtle relationship.

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Lei Ni, Fangyang Zheng. 2018-02-23. Comparison and vanishing theorems for K\"ahler manifolds. https://arxiv.org/abs/1802.08732

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