Laplacian solitons: questions and homogeneous examples
Differential Geometry
2017-03-07 v1
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 G2-structures (introduced by Bryant) which are steady Laplacian solitons have also been found. All the examples are left-invariant G2-structures on solvable Lie groups.
Keywords
Cite
@article{arxiv.1703.01853,
title = {Laplacian solitons: questions and homogeneous examples},
author = {Jorge Lauret},
journal= {arXiv preprint arXiv:1703.01853},
year = {2017}
}
Comments
14 pages