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 $F^m/\mathrm{diag}(F)$.

arXiv comment17 pages, comments are welcome

References in corpus (3)

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

Cited by in corpus (6)

• On the structure of geodesic orbit Riemannian spaces
• Geodesic orbit Riemannian spaces with two isotropy summands. I
• On invariant Riemannian metrics on Ledger-Obata spaces
• Invariant Einstein metrics on Ledger-Obata spaces
• Invariant Einstein metrics on generalized Wallach spaces
• On the variational properties of the prescribed Ricci curvature functional