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arXiv · 2510.01548

Laplacian comparison theorems on complete K\"ahler manifolds and applications

Jiaxuan Fang·Zhiyao Xiong·Xiaokui Yang
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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.

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Jiaxuan Fang, Zhiyao Xiong, Xiaokui Yang. 2025-10-02. Laplacian comparison theorems on complete K\"ahler manifolds and applications. https://arxiv.org/abs/2510.01548

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