Remarks on homogeneous solitons of the G${}_2$-Laplacian flow

Abstract

We show the existence of expanding solitons of the G${}_2$-Laplacian flow on non-solvable Lie groups, and we give the first example of a steady soliton that is not an extremally Ricci pinched G${}_2$-structure.

arXiv comment6 pages

References in corpus (6)

• Laplacian flow for closed G_2 structures: Shi-type estimates, uniqueness and compactness
• Laplacian flow of homogeneous G2-structures and its solitons
• Laplacian Solitons and Symmetry in G_2-geometry
• A class of eternal solutions to the G${}_2$-Laplacian flow
• Geometric Flows of G_2 Structures
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Cited by in corpus (2)

• On the existence of homogeneous solitons of gradient type for the G${}_2$-Laplacian flow
• Closed G${}_2$-structures on unimodular Lie algebras with non-trivial center