Laplacian comparison theorems on complete K\"ahler manifolds and applications
Differential Geometry
2025-10-03 v1
Abstract
In this paper, we establish new Laplacian comparison theorems and rigidity theorems for complete K\"ahler manifolds under new curvature notions that interpolate between Ricci curvature and holomorphic bisectional curvature.
Keywords
Cite
@article{arxiv.2510.01548,
title = {Laplacian comparison theorems on complete K\"ahler manifolds and applications},
author = {Jiaxuan Fang and Zhiyao Xiong and Xiaokui Yang},
journal= {arXiv preprint arXiv:2510.01548},
year = {2025}
}