Positive Einstein metrics with S4m+3 as the principal orbit

Hanci Chi*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We prove that there exists at least one positive Einstein metric on HPm+1∦HPm+1 for m ≥ 2. Based on the existence of the first Einstein metric, we give a criterion to check the existence of a second Einstein metric on HPm+1∦HPm+1.

Original languageEnglish
Pages (from-to)1004-1040
Number of pages37
JournalCompositio Mathematica
Volume160
Issue number5
DOIs
Publication statusPublished - 8 Apr 2024

Keywords

  • cohomogeneity-one metric
  • Einstein metric

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