Geometric Flows of G2-Structures on 3-Sasakian 7-Manifolds
Studies notions related to dynamical stability for nearly parallel $G_2$-structures originating from 3-Sasakian geometry. Considers such stability issues for the Laplacian coflow, Laplacian flow, and Ricci flow for the corresponding metrics. Proves that the coflow has particularly nice behavior in this 3-Sasakian setting.
Submitted to Geometry and Physics in 2022. Submitted manuscript available here.Â