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arXiv · 2507.15002

Comparison theorems in Hermitian geometry I

Xiaokui Yang
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Abstract

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 classical theorems in Riemannian geometry, including Myers' theorem, Laplacian comparison theorems and volume comparison theorems.

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Xiaokui Yang. 2025-07-20. Comparison theorems in Hermitian geometry I. https://arxiv.org/abs/2507.15002

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