TITLE:
Compact Solvmanifolds with a Closed G2-Structure
AUTHORS:
Marisa Fernández, Jonatan Sanchez, Jose A. Santisteban
KEYWORDS:
G2-Structure, Laplacian Flow, Associative 3-Folds
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.8 No.11,
November
27,
2018
ABSTRACT: We consider a parametrized family of compact G2-calibrated
solvmanifolds, and construct associative (so volume-minimizing submanifolds)
3-tori with respect to the closed G2-structure. We also study the
Laplacian flow of this closed G2 form on the solvable Lie group
underlying to each of these solvmanifolds, and show long time existence of the
solution.