Non-existence of certain Einstein metrics on some symplectic manifolds

Augustin Banyaga, Fortuné Massamba

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


We present a necessary and sufficient condition for an Einstein metric on a symplectic manifold (M,ω) to be ω-compatible. An immediate consequence of the solution of the Goldberg conjecture by Sekigawa is that there exists no Einstein metric with non-negative Ricci curvature satisfying our condition on compact symplectic manifolds that admit no Kähler structure.

Original languageEnglish (US)
Pages (from-to)527-537
Number of pages11
JournalForum Mathematicum
Issue number3
StatePublished - May 1 2016

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • Applied Mathematics


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