Closed \({\mathrm{G}}_2\)-structures on non-solvable Lie groups

DOI10.1007/s13163-019-00296-0zbMath1428.53032arXiv1712.09664OpenAlexW2779978907MaRDI QIDQ2330334

Anna Fino, Alberto Raffero

Publication date: 28 October 2019

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.09664

zbMATH Keywords

Levi decompositionclosed \(\mathrm{G}_2\)-structurenon-solvable Lie group

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) (G)-structures (53C10)

Related Items (11)

Recent Results on Closed G 2-Structures ⋮ Closed \({G_2}\)-structures on compact quotients of Lie groups ⋮ Exact \(\mathrm{G}_2\)-structures on compact quotients of Lie groups ⋮ Quadratic closed G2$\mathrm{G}_2$‐structures ⋮ Closed \(\mathrm{G}_2\)-structures on unimodular Lie algebras with non-trivial center ⋮ On G$$_{\mathbf 2}$$-Structures, Special Metrics and Related Flows ⋮ A class of eternal solutions to the G\(_2\)-Laplacian flow ⋮ Parallelizations on products of spheres and octonionic geometry ⋮ Exact \(G_2 \)-structures on unimodular Lie algebras ⋮ Remarks on homogeneous solitons of the \(\mathrm{G}_2\)-Laplacian flow ⋮ \(G_2\)-structures on flat solvmanifolds

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