On the existence of homogeneous solitons of gradient type for the \(\mathrm{G}_2\)-Laplacian flow

DOI10.1090/PROC/16755MaRDI QIDQ6490379

Anna Fino, Alberto Raffero

Publication date: 23 April 2024

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

homogeneousclosed \(\mathrm{G}_2\)-structuregradient Laplacian soliton

Mathematics Subject Classification ID

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

Cites Work

• Laplacian flow for closed \(\mathrm{G}_{2}\) structures: Shi-type estimates, uniqueness and compactness
• Remarks on homogeneous solitons of the \(\mathrm{G}_2\)-Laplacian flow
• Laplacian solitons on nilpotent Lie groups
• Laplacian solitons and symmetry in \(G_2\)-geometry
• A remark on the Laplacian flow and the modified Laplacian co-flow in \(G_2\)-geometry
• \(S^1\)-invariant Laplacian flow
• Rigidity of homogeneous gradient soliton metrics and related equations
• The classification of ERP \(G_2\)-structures on Lie groups
• Laplacian solitons: questions and homogeneous examples
• Laplacian flow of closed \(G_2\)-structures inducing nilsolitons
• New Examples Of Shrinking Laplacian Solitons
• Geometric Flows of $${{\,\mathrm{G\!}\,}}_2$$ Structures
• Closed warped G_2-structures evolving under the Laplacian flow
• Laplacian flow of homogeneous G2-structures and its solitons
• On the automorphism group of a closed G2-structure
• Extremally Ricci pinched \(G_2\)-structures on Lie groups
• Quadratic closed G2$\mathrm{G}_2$‐structures

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