Closed warped G_2-structures evolving under the Laplacian flow

DOI10.2422/2036-2145.201709_004zbMath1451.53127arXiv1708.00222OpenAlexW3098780103MaRDI QIDQ5120270

Alberto Raffero, Anna Fino

Publication date: 9 September 2020

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.00222

zbMATH Keywords

warped product\(\mathrm{SU}(3)\)-structureimmortal solutionexpanding Laplacian soliton

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) (G)-structures (53C10) Geometric evolution equations (53E99)

Related Items (15)

Recent Results on Closed G 2-Structures ⋮ The Search for Solitons on Homogeneous Spaces ⋮ Solutions of the Laplacian flow and coflow of a locally conformal parallel \(\mathrm{G}_2\)-structure ⋮ Closed \({G_2}\)-structures on compact quotients of Lie groups ⋮ Harmonic \(\operatorname{G}_2\)-structures on almost abelian Lie groups ⋮ Quadratic closed G2$\mathrm{G}_2$‐structures ⋮ Closed \(\mathrm{G}_2\)-structures on unimodular Lie algebras with non-trivial center ⋮ Geometric Flows of $${{\,\mathrm{G\!}\,}}_2$$ Structures ⋮ On G$$_{\mathbf 2}$$-Structures, Special Metrics and Related Flows ⋮ Homogeneous symplectic half-flat 6-manifolds ⋮ A class of eternal solutions to the G\(_2\)-Laplacian flow ⋮ Laplacian coflow for warped \(G_2\)-structures ⋮ \(S^1\)-invariant Laplacian flow ⋮ Remarks on homogeneous solitons of the \(\mathrm{G}_2\)-Laplacian flow ⋮ Closed \({\mathrm{G}}_2\)-structures on non-solvable Lie groups

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