The Alekseevskii conjecture in low dimensions

DOI10.1007/s00208-016-1386-1zbMath1361.53038arXiv1503.07079OpenAlexW2247485708WikidataQ123284197 ScholiaQ123284197MaRDI QIDQ514349

Romina M. Arroyo, Ramiro A. Lafuente

Publication date: 1 March 2017

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.07079

zbMATH Keywords

solvmanifoldnegative scalar curvatureAlekseevskii's conjecturehomogeneous Einstein space

Mathematics Subject Classification ID

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

Related Items (12)

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 ⋮ Classification of left-invariant Einstein metrics on \(\mathrm{SL}(2, \mathbb{R}) \times \mathrm{SL}(2, \mathbb{R})\) that are bi-invariant under a one-parameter subgroup ⋮ Distinguished $$G_2$$-Structures on Solvmanifolds ⋮ On G$$_{\mathbf 2}$$-Structures, Special Metrics and Related Flows ⋮ The classification of ERP \(G_2\)-structures on Lie groups ⋮ Homogeneous 8-manifolds admitting invariant Spin(7)-structures ⋮ The Alekseevskii conjecture in 9 and 10 dimensions ⋮ Codimension one Ricci soliton subgroups of solvable Iwasawa groups ⋮ Closed \(\operatorname{G}_2\)-eigenforms and exact \(\operatorname{G}_2\)-structures

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