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

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	1055-1061
Number of pages	7
Journal	Mathematische Zeitschrift
Volume	290
Issue number	3-4
DOIs	https://doi.org/10.1007/s00209-018-2052-y
State	Published - 1 Dec 2018
Externally published	Yes

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@article{fabe59a07fbc4f499ba7602635c447c4,

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,

day = "1",

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

language = "英语",

volume = "290",

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TY - JOUR

T1 - Diameter rigidity for Kähler manifolds with positive bisectional curvature

AU - Liu, Gang

AU - Yuan, Yuan

PY - 2018/12/1

Y1 - 2018/12/1

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

Abstract

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