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

Gang Liu*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

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 Mi.

Original languageEnglish (US)
Pages (from-to)267-303
Number of pages37
JournalCommunications on Pure and Applied Mathematics
Volume71
Issue number2
DOIs
StatePublished - Feb 1 2018

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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