New Examples of Closed G2-Structures from ERP Geometry

Uses the data of an extremally Ricci-pinched (ERP) G2-structure to define a one-parameter family of closed G2-structures. Proves the Laplacian flow starting at any member of this ansatz constitutes an eternal solution to this flow by solving the flow explicitly. Determines that the scalar and Ricci curvatures are preserved under the flow.

Submitted to the Journal of Geometric Analysis. Submitted manuscript available here.