Laplacian solitons: Questions and homogeneous examples

By Jorge Lauret. 2017

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Abstract We give the first examples of closed Laplacian solitons which are shrinking, and in particular produce closed Laplacian flow solutions with a finite-time singularity. Extremally Ricci pinched G 2 -structures (introduced by Bryant) which are steady Laplacian solitons have also been found. All the examples are left-invariant G 2 -structures on solvable Lie groups.

Subfields: Applied Mathematics, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/ebf2e6898ede590cff7079aefff10721339980cf