Kähler manifolds with Ricci curvature lower bound

Gang Liu

doi:10.4310/AJM.2014.v18.n1.a4

Kähler manifolds with Ricci curvature lower bound

Gang Liu^*

^*此作品的通讯作者

University of California at Berkeley

科研成果: 期刊稿件 › 文章 › 同行评审

8 引用（Scopus）

摘要

On Kähler manifolds with Ricci curvature bounded from below, we establish some theorems which are counterparts of some classical theorems in Riemannian geometry, for example, Bishop-Gromov's relative volume comparison, Bonnet-Meyers theorem, and Yau's gradient estimate for positive harmonic functions. The tool is a Bochner type formula reflecting the Kähler structure.

源语言	英语
页（从-至）	69-100
页数	32
期刊	Asian Journal of Mathematics
卷	18
期	1
DOI	https://doi.org/10.4310/AJM.2014.v18.n1.a4
出版状态	已出版 - 2014
已对外发布	是

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title = "K{\"a}hler manifolds with Ricci curvature lower bound",

abstract = "On K{\"a}hler manifolds with Ricci curvature bounded from below, we establish some theorems which are counterparts of some classical theorems in Riemannian geometry, for example, Bishop-Gromov's relative volume comparison, Bonnet-Meyers theorem, and Yau's gradient estimate for positive harmonic functions. The tool is a Bochner type formula reflecting the K{\"a}hler structure.",

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note = "Publisher Copyright: {\textcopyright} 2014 International Press.",

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AB - On Kähler manifolds with Ricci curvature bounded from below, we establish some theorems which are counterparts of some classical theorems in Riemannian geometry, for example, Bishop-Gromov's relative volume comparison, Bonnet-Meyers theorem, and Yau's gradient estimate for positive harmonic functions. The tool is a Bochner type formula reflecting the Kähler structure.

KW - Comparison theorem

KW - Kähler manifold

UR - https://www.scopus.com/pages/publications/84921441515

U2 - 10.4310/AJM.2014.v18.n1.a4

DO - 10.4310/AJM.2014.v18.n1.a4

M3 - 文章

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SN - 1093-6106

VL - 18

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JO - Asian Journal of Mathematics

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Kähler manifolds with Ricci curvature lower bound

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