Comparison and vanishing theorems for K\"ahler manifolds
Differential Geometry
2022-07-18 v2
Abstract
In this paper, we consider orthogonal Ricci curvature 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.
Keywords
Cite
@article{arxiv.1802.08732,
title = {Comparison and vanishing theorems for K\"ahler manifolds},
author = {Lei Ni and Fangyang Zheng},
journal= {arXiv preprint arXiv:1802.08732},
year = {2022}
}