Nice pseudo-Riemannian nilsolitons

DOI10.1016/J.GEOMPHYS.2021.104433zbMath1486.53057arXiv2107.07767OpenAlexW4206446659WikidataQ115352672 ScholiaQ115352672MaRDI QIDQ2071021

Diego Conti, Federico Alberto Rossi

Publication date: 25 January 2022

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

Full work available at URL: https://arxiv.org/abs/2107.07767

zbMATH Keywords

Einstein metricsnilsolitonnice Lie algebraspseudo-Riemannian homogeneous metrics

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Nilpotent and solvable Lie groups (22E25) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (1)

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Cites Work

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• Classification of nilsoliton metrics in dimension seven
• Einstein solvmanifolds: Existence and non-existence questions
• Einstein solvmanifolds are standard
• Filiform nilsolitons of dimension 8
• Distinguished orbits of reductive groups
• Einstein solvmanifolds with a simple Einstein derivation
• The existence of soliton metrics for nilpotent Lie groups
• Noncompact homogeneous Einstein spaces
• Rank-one Einstein solvmanifolds of dimension 7.
• Construction of nice nilpotent Lie groups
• Finding Einstein solvmanifolds by a variational method
• Computational methods for nilsoliton metric Lie algebras. I
• Indefinite Einstein metrics on nice Lie groups
• Ricci-flat and Einstein Pseudoriemannian nilmanifolds
• Indefinite nilsolitons and Einstein solvmanifolds
• Wick-rotations of pseudo-Riemannian Lie groups
• Pseudo-Riemannian Einstein metrics on noncompact homogeneous spaces
• On the diagonalization of the Ricci flow on Lie groups
• Einstein solvmanifolds and the pre-Einstein derivation
• Ricci soliton homogeneous nilmanifolds

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