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math.DG2025
Laplacian comparison theorems on complete Kähler manifolds and applications
Jiaxuan Fang, Zhiyao Xiong, Xiaokui Yang
In this paper, we establish new Laplacian comparison theorems and rigidity theorems for complete Kähler manifolds under new curvature notions that interpolate between Ricci curvatu…
math.DG2025
Comparison theorems in Hermitian geometry I
Xiaokui Yang
This paper develops second variational formulas and index forms in the context of Hermitian geometry. Building upon these analytical foundations, we establish results analogous to…