Explicit Soliton for the Laplacian Co-Flow on a Solvmanifold
Abstract
We apply the general Ansatz in geometric flows on homogeneous spaces proposed by Jorge Lauret for the Laplacian co-flow of invariant $G_2$-structures on a Lie group, finding an explicit soliton on a particular almost Abelian $7$-manifold.
- Publication:
-
arXiv e-prints
- Pub Date:
- February 2019
- DOI:
- 10.48550/arXiv.1902.02874
- arXiv:
- arXiv:1902.02874
- Bibcode:
- 2019arXiv190202874M
- Keywords:
-
- Mathematics - Differential Geometry;
- 53C44;
- 53C30
- E-Print:
- Minor corrections, proof's Lemma 4.1 modified