Born Lie Algebras
Copyright policy )Born Lie Algebras
We show that every Born Lie algebra can be obtained by the bicross product construction starting from two pseudo-Riemannian Lie algebras. We then obtain a classification of all Lie algebras up to dimension four and all six-dimensional nilpotent Lie algebras admitting an integrable Born structure. Finally, we study the curvature properties of the pseudo-Riemannian metrics of the integrable Born structures obtained in our classification results.
23 pages. Journal version
- Beijing Institute of Mathematical Sciences and Applications China (People's Republic of)
pseudo-Kähler Lie algebras, Mathematics - Differential Geometry, Nilpotent and solvable Lie groups, bi-Lagrangian Lie algebras, FOS: Physical sciences, Global differential geometry of Hermitian and Kählerian manifolds, Mathematical Physics (math-ph), Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics, complex product structures, Differential Geometry (math.DG), Born structures, General geometric structures on manifolds (almost complex, almost product structures, etc.), FOS: Mathematics, Primary 53C15, Secondary 53C50, 53C55, 22E25, Structure theory for Lie algebras and superalgebras, bicross product, Mathematical Physics
pseudo-Kähler Lie algebras, Mathematics - Differential Geometry, Nilpotent and solvable Lie groups, bi-Lagrangian Lie algebras, FOS: Physical sciences, Global differential geometry of Hermitian and Kählerian manifolds, Mathematical Physics (math-ph), Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics, complex product structures, Differential Geometry (math.DG), Born structures, General geometric structures on manifolds (almost complex, almost product structures, etc.), FOS: Mathematics, Primary 53C15, Secondary 53C50, 53C55, 22E25, Structure theory for Lie algebras and superalgebras, bicross product, Mathematical Physics
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!