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<p>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.</p>

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Comparison theorems in Hermitian geometry I

  • 期刊论文

  • 发表日期：

    2026年4月14日

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  • Xiaokui Yang

摘要

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.