Kähler-Einstein metrics on orbifolds and Einstein metrics on spheres

Alessandro Ghigi, János Kollár

Research output: Contribution to journalArticle

24 Scopus citations

Abstract

A construction of Kähler-Einstein metrics using Galois coverings, studied by ArezzoGhigi-Pirola, is generalized to orbifolds. By applying it to certain orbifold covers of ℂℙn which are trivial set theoretically, one obtains new Einstein metrics on odd-dimensional spheres. The method also gives Kähler-Einstein metrics on degree 2 Del Pezzo surfaces with A1- or A2-singularities.

Original languageEnglish (US)
Pages (from-to)877-902
Number of pages26
JournalCommentarii Mathematici Helvetici
Volume82
Issue number4
DOIs
StatePublished - Jan 1 2007

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Keywords

  • Einstein metrics
  • Exotic spheres
  • Kähler-Einstein orbifolds
  • Sasakian manifolds

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