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

DOI10.1007/s10455-023-09890-4OpenAlexW4322768163MaRDI QIDQ2689728

Jeremias Ehlert, Vicente Cortés, David Lindemann, Alexander S. Haupt

Publication date: 14 March 2023

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.07343

zbMATH Keywords

homogeneous spacesscalar curvatureEinstein metricspseudo-Riemannianleft-invariant

Mathematics Subject Classification ID

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

Cites Work

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• The Alekseevskii conjecture in low dimensions
• Invariant Einstein metrics on Ledger-Obata spaces
• Compact homogeneous Einstein 6-manifolds.
• Left-invariant Einstein metrics on \(S^3 \times S^3\)
• The Alekseevskii conjecture in 9 and 10 dimensions
• Riemannian manifolds with geodesic symmetries of order 3
• Parallelization of matrix algorithms for Gröbner basis computation
• Parallel algorithms for Gröbner-basis construction
• Nearly pseudo-K\"ahler and nearly para-K\"ahler six-manifolds

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