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Lotay, J.D. and Wei, Y. (2015) Stability of Torsion-Free G2 Structures along the Laplacian Flow. arXiv:1504.07771 [math.DG]

has been cited by the following article:

• 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.