JournalscmhVol. 80 , No. 1DOI 10.4171/cmh/8

Non-existence of homogeneous Einstein metrics

  • Christoph Böhm

    Universität Münster, Germany
Non-existence of homogeneous Einstein metrics cover

Abstract

We show that there exist infinitely many simply connected compact prime homogeneous spaces G/HG/H with infinite second homotopy group which do not admit GG-invariant Einstein metrics.