Non-existence of homogeneous Einstein metrics

Christoph Böhm

doi:10.4171/cmh/8

JournalscmhVol. 80, No. 1pp. 123–146

Non-existence of homogeneous Einstein metrics

Christoph Böhm
Universität Münster, Germany

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Abstract

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

Cite this article

Christoph Böhm, Non-existence of homogeneous Einstein metrics. Comment. Math. Helv. 80 (2005), no. 1, pp. 123–146

DOI 10.4171/CMH/8