Gromov-Hausdorff Limits of Kähler Manifolds with Bisectional Curvature Lower Bound

Gang Liu

doi:10.1002/cpa.21724

Gromov-Hausdorff Limits of Kähler Manifolds with Bisectional Curvature Lower Bound

Gang Liu^*

^*Corresponding author for this work

Northwestern University

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

9 Scopus citations

Abstract

Given a sequence of complete Kähler manifolds (Formula presented.) with bisectional curvature lower bound and noncollapsed volume, we prove that the pointed Gromov-Hausdorff limit is homeomorphic to a normal complex analytic space. The complex analytic structure is the natural “limit” of the complex structure of M_i.

Original language	English
Pages (from-to)	267-303
Number of pages	37
Journal	Communications on Pure and Applied Mathematics
Volume	71
Issue number	2
DOIs	https://doi.org/10.1002/cpa.21724
State	Published - 1 Feb 2018
Externally published	Yes

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10.1002/cpa.21724

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title = "Gromov-Hausdorff Limits of K{\"a}hler Manifolds with Bisectional Curvature Lower Bound",

abstract = "Given a sequence of complete K{\"a}hler manifolds (Formula presented.) with bisectional curvature lower bound and noncollapsed volume, we prove that the pointed Gromov-Hausdorff limit is homeomorphic to a normal complex analytic space. The complex analytic structure is the natural “limit” of the complex structure of Mi.",

author = "Gang Liu",

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AU - Liu, Gang

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AB - Given a sequence of complete Kähler manifolds (Formula presented.) with bisectional curvature lower bound and noncollapsed volume, we prove that the pointed Gromov-Hausdorff limit is homeomorphic to a normal complex analytic space. The complex analytic structure is the natural “limit” of the complex structure of Mi.

UR - https://www.scopus.com/pages/publications/85032785029

U2 - 10.1002/cpa.21724

DO - 10.1002/cpa.21724

M3 - 文章

AN - SCOPUS:85032785029

SN - 0010-3640

VL - 71

SP - 267

EP - 303

JO - Communications on Pure and Applied Mathematics

JF - Communications on Pure and Applied Mathematics

IS - 2

ER -

Gromov-Hausdorff Limits of Kähler Manifolds with Bisectional Curvature Lower Bound

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