Compact homogeneous Einstein 6-manifolds.

DOI10.1016/S0926-2245(03)00051-2zbMath1045.53031OpenAlexW1999171251WikidataQ115337998 ScholiaQ115337998MaRDI QIDQ1417345

E. D. Rodionov, Yurii Gennadyevich Nikonorov

Publication date: 4 January 2004

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0926-2245(03)00051-2

zbMATH Keywords

homogeneous manifoldsinvariant Einstein metricsHomogeneous Einstein manifolds

Mathematics Subject Classification ID

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

Related Items (12)

A non-existence theorem for \(N>16\) supersymmetric \(\mathrm{AdS}_{3}\) backgrounds ⋮ Invariant torsion and \(\mathrm{G}_2\)-metrics ⋮ 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 ⋮ Spaces of Riemannian metrics ⋮ Geometry of homogeneous Riemannian manifolds ⋮ \(\mathrm{AdS}_{4}\) backgrounds with \(N > 16\) supersymmetries in 10 and 11 dimensions ⋮ Left-invariant Einstein metrics on \(S^3 \times S^3\) ⋮ The Alekseevskii conjecture in low dimensions ⋮ Compact homogeneous Einstein 7-manifolds ⋮ On left-invariant Einstein Riemannian metrics that are not geodesic orbit ⋮ Noncompact homogeneous Einstein 5-manifolds ⋮ Half-flat structures inducing Einstein metrics on homogeneous spaces

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