Einstein–Maxwell Equations on Four-dimensional Lie Algebras

DOI10.4153/S0008439519000249zbMath1466.53053arXiv1807.03896OpenAlexW2963613839WikidataQ127900636 ScholiaQ127900636MaRDI QIDQ5242548

Mehdi Lejmi, Caner Koca

Publication date: 12 November 2019

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.03896

zbMATH Keywords

Lie algebraalmost complex structureKähler metricEinstein-Maxwell metric

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Local differential geometry of Hermitian and Kählerian structures (53B35) Applications of local differential geometry to the sciences (53B50)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Einstein-Maxwell equations and conformally Kähler geometry
• Strongly Hermitian Einstein-Maxwell solutions on ruled surfaces
• Ambitoric geometry. I: Einstein metrics and extremal ambikähler structures
• Volume minimization and conformally Kähler, Einstein-Maxwell geometry
• Automorphisms and deformations of conformally Kähler, Einstein-Maxwell metrics
• On some 4-dimensional almost Kähler manifolds
• The Einstein-Maxwell equations, Kähler metrics, and Hermitian geometry
• Conformally Kähler, Einstein-Maxwell geometry
• Almost Kähler 4-dimensional Lie groups with \(J\)-invariant Ricci tensor
• Conformally Einstein-Maxwell Kähler metrics and structure of the automorphism group
• The Einstein-Maxwell Equations, Extremal Kahler Metrics, and Seiberg-Witten Theory
• Invariants of real low dimension Lie algebras
• OUP accepted manuscript

This page was built for publication: Einstein–Maxwell Equations on Four-dimensional Lie Algebras