Invariant Einstein metrics on Ledger-Obata spaces

Abstract

In this paper, we study invariant Einstein metrics on Ledger-Obata spaces $F^m/\mathrm{diag}(F)$. In particular, we classify invariant Einstein metrics on $F^4/\mathrm{diag}(F)$ and estimate the number of invariant Einstein metrics on general Ledger-Obata spaces $F^m/\mathrm{diag}(F)$.

17 pages, comments are welcome

References in corpus (2)

• Einstein Metrics from Symmetry and Bundle Constructions: A Sequel
• Invariant Einstein metrics on Ledger-Obata spaces

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• On the variational properties of the prescribed Ricci curvature functional