Diameter rigidity for Kähler manifolds with positive bisectional curvature

Gang Liu; Yuan Yuan

doi:10.1007/s00209-018-2052-y

Diameter rigidity for Kähler manifolds with positive bisectional curvature

Gang Liu^*
, Yuan Yuan

^*此作品的通讯作者

科研成果: 期刊稿件 › 文章 › 同行评审

6 引用（Scopus）

摘要

Let Mⁿ be a compact Kähler manifold with bisectional curvature bounded from below by 1. If diam(M)=π/2 and vol(M) > vol(CPⁿ) / 2 ⁿ, we prove that M is biholomorphically isometric to CPⁿ with the standard Fubini-Study metric.

源语言	英语
页（从-至）	1055-1061
页数	7
期刊	Mathematische Zeitschrift
卷	290
期	3-4
DOI	https://doi.org/10.1007/s00209-018-2052-y
出版状态	已出版 - 1 12月 2018
已对外发布	是

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title = "Diameter rigidity for K{\"a}hler manifolds with positive bisectional curvature",

abstract = "Let Mn be a compact K{\"a}hler manifold with bisectional curvature bounded from below by 1. If diam(M)=π/2 and vol(M) > vol(CPn) / 2 n, we prove that M is biholomorphically isometric to CPn with the standard Fubini-Study metric.",

author = "Gang Liu and Yuan Yuan",

note = "Publisher Copyright: {\textcopyright} 2018, Springer-Verlag GmbH Germany, part of Springer Nature.",

year = "2018",

month = dec,

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doi = "10.1007/s00209-018-2052-y",

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T1 - Diameter rigidity for Kähler manifolds with positive bisectional curvature

AU - Liu, Gang

AU - Yuan, Yuan

PY - 2018/12/1

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N2 - Let Mn be a compact Kähler manifold with bisectional curvature bounded from below by 1. If diam(M)=π/2 and vol(M) > vol(CPn) / 2 n, we prove that M is biholomorphically isometric to CPn with the standard Fubini-Study metric.

AB - Let Mn be a compact Kähler manifold with bisectional curvature bounded from below by 1. If diam(M)=π/2 and vol(M) > vol(CPn) / 2 n, we prove that M is biholomorphically isometric to CPn with the standard Fubini-Study metric.

UR - https://www.scopus.com/pages/publications/85044937782

U2 - 10.1007/s00209-018-2052-y

DO - 10.1007/s00209-018-2052-y

M3 - 文章

AN - SCOPUS:85044937782

SN - 0025-5874

VL - 290

SP - 1055

EP - 1061

JO - Mathematische Zeitschrift

JF - Mathematische Zeitschrift

IS - 3-4

ER -

Diameter rigidity for Kähler manifolds with positive bisectional curvature

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