Homogeneous Einstein metrics and local maxima of the Hilbert action

DOI10.1016/j.geomphys.2022.104544zbMath1496.53065arXiv2111.07842OpenAlexW3214574852WikidataQ114173508 ScholiaQ114173508MaRDI QIDQ2149445

Cynthia E. Will, Jorge Lauret

Publication date: 28 June 2022

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.07842

zbMATH Keywords

homogeneous manifoldsEinstein metricsHilbert action

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Related Items (2)

Homogeneous Einstein metrics and butterflies ⋮ The stability of standard homogeneous Einstein manifolds

Cites Work

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• Linear stability of Perelman's \(\nu\)-entropy on symmetric spaces of compact type
• The geometry of compact homogeneous spaces with two isotropy summands
• Existence and non-existence of homogeneous Einstein metrics
• Rigidity and stability of Einstein metrics - The case of compact symmetric spaces
• New examples of homogeneous Einstein metrics
• A variational approach for compact homogeneous Einstein manifolds
• Stability of Einstein metrics on symmetric spaces of compact type
• Stability of compact symmetric spaces
• Stability and instability of Ricci solitons
• Cohomogeneity one manifolds with a small family of invariant metrics
• Convergence of homogeneous manifolds
• On normal homogeneous Einstein manifolds
• On a characterization of critical points of the scalar curvature functional
• Radon transforms and spectral rigidity on the complex quadrics and the real Grassmannians of rank two.

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