Flows of Conformally Coclosed $$G_2$$-Structures with Dilaton
Abstract
Abstract We study flows of $$G_2$$ G 2 -structures guided by the principle of dimensional reduction: natural geometric flows in $$G_2$$ G 2 -geometry reduce to natural flows in complex geometry. Our main examples are the $$G_2$$ G 2 -Laplacian coflow, which lifts the Kähler–Ricci flow, and a 7-dimensional lift of the anomaly flow on complex threefolds. The $$G_2$$ G 2 -lift of the anomaly flow deforms conformally coclosed $$G_2$$ G 2 -structures. We compare the $$G_2$$ G 2 -anomaly flow to the $$G_2$$ G 2 -Laplacian coflow, and investigate short-time existence and fixed points.
Fields of Study & Subjects
Geometry and complex manifolds
Geometric Analysis and Curvature Flows
Homotopy and Cohomology in Algebraic Topology
Publication details
- Journal / source
- Journal of Geometric Analysis
- Volume
- 36
- Issue
- 5
- Pages
- 171–171
- Publication date
- 10 April 2026
- Language
- EN