Locally removable singularities for Kähler metrics with constant holomorphic sectional curvature

Si En Gong, Hongyi Liu, Bin Xu

Research output: Contribution to journalArticlepeer-review

Abstract

Let n ≥ 2 be an integer, and let Bn ⊂ Cn be the unit ball. Let K ⊂ Bn be a compact subset such that Bn \ K is connected, or K = {z = (z1,..., zn)|z1 = z2 = 0} ⊂ Cn. By the theory of developing maps, we prove that a Kähler metric on Bn \K with constant holomorphic sectional curvature uniquely extends to Bn.

Original languageEnglish (US)
Pages (from-to)2179-2191
Number of pages13
JournalProceedings of the American Mathematical Society
Volume148
Issue number5
DOIs
StatePublished - 2020
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • Applied Mathematics

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