Laplacian comparison theorems on complete Kähler manifolds and applications

Jiaxuan Fang, Zhiyao Xiong, Xiaokui Yang

Published: 2025/10/2

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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