Einstein solvmanifolds have maximal symmetry

DOI10.4310/jdg/1547607686zbMath1415.53037arXiv1507.08321OpenAlexW2963001171WikidataQ115165333 ScholiaQ115165333MaRDI QIDQ1712379

Carolyn S. Gordon, Michael R. Jablonski

Publication date: 22 January 2019

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.08321

zbMATH Keywords

Ricci curvatureRicci flowEinstein metricsolvable Lie groupsleft-invariant Riemannian metrics

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Nilpotent and solvable Lie groups (22E25)

Related Items (7)

Immortal homogeneous Ricci flows ⋮ Homogeneous Einstein metrics on Euclidean spaces are Einstein solvmanifolds ⋮ A step towards the Alekseevskii conjecture ⋮ Non-compact Einstein manifolds with symmetry ⋮ A fibered Tukia theorem for nilpotent Lie groups ⋮ The Ricci pinching functional on solvmanifolds II ⋮ The Ricci flow on solvmanifolds of real type

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