A new incomplete Ricci-flat metric

Research output: Contribution to journalArticlepeer-review


Classical metrics (Eguchi-Hanson, Taub-NUT, Fubini-Study) satisfy a certain system of ODE that we introduced. By studying this system we found new Ricci-flat incomplete Riemannian metric in explicit formula and described its behavior at infinity and in the singular point.

Original languageEnglish
Article number1950077
Number of pages10
JournalInternational Journal of Geometric Methods in Modern Physics
Issue number5
Publication statusPublished - 1 May 2019


  • Eguchi-Hanson metric
  • Einstein metrics
  • Fubini-Study metric
  • Ricci-flat metrics
  • Taub-NUT metric


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