On Riemann-Poisson Lie groups

DOI10.5817/AM2020-4-225OpenAlexW3094982925WikidataQ115158850 ScholiaQ115158850MaRDI QIDQ5140381

Mohamed Boucetta, Ahmed Sid'Ahmed Lessiad, Brahim Alioune

Publication date: 15 December 2020

Published in: Archivum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.05060

zbMATH Keywords

Riemannian metricLie groupPoisson manifolds

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Affine differential geometry (53A15) Local Lie groups (22E05)

Cites Work

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• Curvatures of left invariant metrics on Lie groups
• Lectures on the geometry of Poisson manifolds
• Riemann-Poisson manifolds and Kähler-Riemann foliations.
• Connections in Poisson geometry. I: Holonomy and invariants.
• Real polarizable Hodge structures arising from foliations
• Poisson manifolds with compatible pseudo-metric and pseudo-Riemannian Lie algebras
• The structure of noncommutative deformations
• Poisson structures and their normal forms
• Compatibilité des structures pseudo-riemanniennes et des structures de Poisson
• Left-invariant Lorentzian flat metrics on Lie groups
• Left invariant metrics and curvatures on simply connected three-dimensional Lie groups

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